## Probability Worksheet Solution5

In this page probability worksheet solution5 we are going to see solution of some practice questions of the probability worksheet.

Question 13

A two digit number is formed with the digits 3 , 5 and 7. Find the probability that the number s formed is greater than 57 (repetition of digits is not allowed)

Solution

Sample space = {35,37,53,57,73,75}

n(s) = 6

Let A be the event of getting a number formed is greater than 57.

A = {73,75}

n(A) = 2

Probability of getting a number formed which is greater than 57

P(A) = n(A)/n(S)

=  2/6

P(A) = 1/3

Question 14

Three dice are thrown simultaneously. Find the probability of getting that same number on all the three dice.

Solution

Sample space = {(1,1,1),(1,1,2)(1,1,3)…………………………………..(6,6,6)}

n (s) = 216

Let A be the event of getting a same number on all the three dice.

A ={(1,1,1), (2,2,2), (3,3,3), (4,4,4), (5,5,5), (6,6,6)}

n(A) = 6

Probability of getting a same number on all the three dice

P(A) = n(A)/n(S)

= 6/216

= 1/36

Question 15

Two dice are rolled and product of the outcomes (numbers are found). What is the probability that the product so found is a prime number?

Solution

Two dice are thrown twice

Sample space S = { (1,1),(1,2),(1,3),(1,4) ,(1,5), (1,6)

(2,1),(2,2),(2,3),(2,4) ,(2,5), (2,6)

(3,1),(3,2),(3,3),(3,4),(3,5), (3,6)

(4,1),(4,2),(4,3),(4,4),(4,5),(4,6)

(5,1),(5,2),(5,3),(5,4) ,(5,5), (5,6)

(6,1),(6,2),(6,3),(6,4) ,(6,5), (6,6)}

n(S) = 36

Let A be the event of getting product of the outcomes found is a prime number

A = {(1,2),(1,3),(1,5),(2,1),(3,1),(5,1)}

n(A) = 6

Probability of getting product of the outcomes found as prime number is

P(A) = n(A)/n(S)

= 6/36

= 1/6

Probability of getting product of the outcomes found as a prime number is 1/6. probability worksheet solution5 probability worksheet solution5