Rolling/Tossing/Throwing Two/Three Dice/Die Problems :: Probability

No. Problems & Solutions [Click Hide/Show to display the solutions below the question]
01.

If n dice are rolled, then the total number of exhaustive outcomes are

In throwing of two dice the number of cases favorite to a sum 7 is

If two dice are thrown, the probability of getting a total score 7 is

Two dice are thrown simultaneously. The probability of not obtaining total score of 7 is

When two dice are thrown the probability of getting equal number is
In a throw with a pair of dice, what is the chance of throwing a doublet?

When two dice are throw, the probability of getting unequal numbers is

Two dice are thrown simultaneously. The probability of getting even numbers on both the dice is .

The probability of getting a total of 10 in a single throw of two dice is

Two dice are rolled simultaneously. The probability that the sum of the two numbers on the dice is a prime number is

When two dice are thrown the probability of getting the sum 9 or 10 is
The probability that in the toss of two dice we obtain the sum 7 or 11 is

A and B throw with 2 dice. If A throws 9, then Bs chance of throwing a higher number is

The probability that in the toss of two dice, we obtain an even sum less than 5 is

In a throw, with a pair of dice, the chance of throwing a double is

The probability of a 3 turning up at least once in two tosses of a fair die is

When two dice are thrown, the probability of getting an even number and an odd number is

In a throw of two unbiased dice find the probability of throwing i) total seven points, and ii) total eight points.

Two unbiased dice are thrown. Find the probability that the sum of the faces is not less than 10.

Two dice are thrown simultaneously, and the point on the dice are multiplied together. Find the probability that the product is 4.

In an experiment of rolling 2 dice, find the probability that, the dots on the second die is less than that on the first die.

When two dice are thrown, find the probability of getting a number always greater than 4 on the second die.

Two dice are thrown at a time. Find the probability that the difference of numbers shown on the dice is 1?

In a single throw with two dice find the probability of i) throwing 11 ii) getting the total score of more than 10 iii) getting the sum 8 or 9.

If two dice are thrown simultaneously, find the odds in favour and the odds against the event of getting numbers on them which differ by 4.
Two dice are thrown. The probability that the absolute difference of points on them is 4 is

In a single throw of two dice, determine the probability of not getting the same number on the two dice.
Two dice are rolled simultaneously. Find the probability that the numbers on them are different.

If two dice are thrown simultaneously, find the odds in favour of the event of getting a prime number on one of them and an even number on the other.

When two are rolled, simultaneously, find the probability that the sum of the numbers on them is at least 9.

When two dice are thrown, find the probability of getting the sum more than 10

Two dice are thrown simultaneously. Find the probability that the sum of the numbers on them is at least 10.

Two dice are thrown simultaneously. Find the probability that the sum of the numbers on them is at most 10.

Two dice are rolled, find the probability that the maximum of the two numbers is greater than 4

In throwing two dice, the probability of getting a multiple of 4 is

If two dice are thrown, what is the probability that at least one of the dice shown number greater than or equal to 4.

Two dice are thrown. The probability for obtaining are even sum or sum less than 5 is

Two dice, one green and the other red are rolled and separate scores recorded. The probability that scores on the dice differ by not more than 2 is

If two dice are thrown, What is the probability that at least one of the dice shows a number greater than 3?

If two dice are thrown, the probability of getting an even total on them is

In a single throw with two dice, the probability of throwing a 11 is

Two perfect dice are thrown. Find the probability of getting a sum greater than or equal to 8.

In a single throw with two dice the total no. of points whose probability is maximum is

In a single throw with two dice the total no. of points whose probability is minimum is

The probability of obtaining 6 as sum of points when two dice are thrown is

If two dice are thrown. Then the probability that the sum is less than 10 is

Two dice are thrown. The probability of getting either a doublet or a sum greater than 9 is

Two unbiased dice are thrown, simultaneously, the probability of getting the total score as even

When 2 dice are rolled write the successes for the event of getting a sum of 4 on the two dice.

Solution Hide/Show
[6]

In the experiment of tossing an unbiased dice/die, there are six possible elementary events:

The event of the dice/die showing up the number

"ONE"   "TWO"   "THREE"   "FOUR"   "FIVE"   (Or)   "SIX"

⇒ The total number of possible choices in the experiment = 6

02.
Three identical dice are rolled the probability that the same number will appear on each of them is

When three dice are thrown find the probability of getting 4 or 5 on each of the dice simultaneously [1/27]

When three dice are thrown find the probability of getting a total of 4 or 5. [1/24]

If three dice are thrown, find the probability of getting a sum greater than 16 on the three dice.

The probability of getting the same number on all the three dice in a single throw is
Find the probability of getting triplet, when a die is rolled thrice.

Three 6 faced fair dice are tossed together. the probability of obtaining the sum of 15 of all the three numbers is

Three fair dice are thrown, What is the probability of getting a sum of 6 or less on the three dice?

Three dice are thrown, the probability of getting a total of at least 5 is

A and B throw with 3 dice, if A throws 8. What is Bs chance of throwing a higher number?

Six faces of a die are marked with numbers 1, -1, 0, -2, 2, 3 and the die is thrown thrice. The probability that the sum of the numbers thrown is six, is

Three dice are rolled simultaneously. Find the probability that the sum of the numbers on them is 6.

Three dice are rolled simultaneously. Find the probability that the sum of the numbers on them is 16.

When 3 dice are rolled, find the probability, that the sum on the three dice is 6 or less.

If three symmetrical die marked 1 to 6 are thrown, calculate the probability that the sum of the numbers shown is 2.

When 3 dice are thrown simultaneously, find the probability that the sum of the three faces is less than 16.

A and B throw three dice. If A throws 16, find Bs chance of throwing a higher numbers.

When 3 dice are rolled,
a) How many elementary events are there?
b) Write the events, in which the sum is 17 or more.


If three dice are thrown, then the probability that they show the numbers in A.P. is

Solution
[1/2, 1:1]

03.
If five throws with a single die what is the chance of throwing 1) Three aces exactly 2) three aces at least?

An ordinary cubs has four blank faces. One face marked 2 another marked 3. Then the probability of obtaining a total of exactly 12 in 5 throws is

If three six faced fair dice are thrown together, then the probability that the sum of the numbers appearing on the dice is K(3 ≤ K ≤ 8) is
(a) (K − 1) (K − 2) /432 (b) K(K − 1)/432 (c) K2/432 (d) none

If three six faced fair dice thrown together, then the probability that the sum of the numbers appearing on the dice is K(6 ≤ K ≤ 14) is
(a) (K2 − 21k + 83)/216 (b) (K2 + 21k + 83)/216 (c) (21K − K2 − 83)/216 (d) (21K − K2 + 83)/216

Solution
[2/3, 2:1]

04.

Solution
[2/3]

05.

Solution
[1/2, 1:1, 1:1]

06.
probability,experiment,favourable,unfavourable,all possible,biased,unbiased,mutually exclusive,exhaustive,elementary,simple,compound,conditional,dependent,independent,events,choices,conditional,addition,multiplication,bayes,theorem,probability
Define the Event and identify the number of favourable and choices in the following which relate to the experiment of
a)
b)
c)
d)
e)
f)
g)
h)
i)
j)

Solution
[1, 4, 4, 3, 0, 2, 2, 1, 0, 4]

probability,experiment,favourable,unfavourable,all possible,biased,unbiased,mutually exclusive,exhaustive,elementary,simple,compound,conditional,dependent,independent,events,choices,conditional,addition,multiplication,bayes,theorem,probability

No. Problems for Practice
01.
Two unbiased six faced dice are thrown. The probability that the sum of the numbers on faces of them is a prime number greater than 5 is

When two dice are thrown, the probability of getting odd numbers on both the dice is

Two dice are thrown simultaneously. The probability of obtaining total score of seven is ...

Two dice are thrown simultaneously, then the probability of obtaining a total score of 11 is

When two dice are thrown, the probability of getting the sum 10 or 11 is

If two dice are thrown the probability that the sum shown will be 8 or 12 is

The probability of throwing a total of 8 or 11 in a single throw with two dice is

When 2 dice are rolled find the probability that the sum of the dots on the two faces is an even number less than 6.

Two dice are thrown simultaneously. The probability that the sum of the numbers on them is at least 11 is

Two dice are thrown simultaneously. The probability that the sum of the numbers on them is at most 5 is

Three dice are tossed together. Find the probability that exactly two of the three numbers that show on them are equal.

02.
03.
Three dice are rolled simultaneously. The probability that the sum of the numbers on them is 7 is

When 3 dice are thrown simultaneously, find the probability that the sum of the three faces is less than 16.

Three dice are thrown simultaneously. The probability of getting the sum 5 or less is

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