## Probability Worksheet Solution2

In this page probability worksheet solution2 we are going to see solution of some practice questions of the probability worksheet.

Question 4

Three rotten eggs are mixed with 12 good ones. One egg is chosen at random. What is the probability of choosing a rotten egg?

Solution:

Number of good eggs = 12

Number of rotten egg = 3

So, total number of eggs = 12 + 3

= 15

Sample space n(s) = 15

Let A be the event of getting rotten egg

n(A) = 3

Probability of getting rotten egg = n(A)/n(S)

= 3/15

= 1/5

Therefore the probability of getting rotten egg is 1/5

Question 5

Two coins are tossed together. What is the probability of getting at most one head?

Solution:

In tossing a coin twice, the sample space

S = {H H, H T, T H, T T}

n(S) = 4

Let A be the event of getting at most one head

A = {H T, T H, T T}

n(A) = 3

Probability of getting at most one head

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

P(A) = 3/4

Therefore the probability of getting at most one head is 3/4

Question 6

One card is drawn randomly from a well shuffled deck of 52 playing cards. Find the probability that the drawn card is

(i) a diamond

(ii) not a diamond

(iii) not an ace

Solution:

Sample space n(S) = 52

(i)Let A be event of getting a diamond

n(A) = 13

Probability of getting a diamond card, P(A) = n (A)/n(S)

= 13/52

P(A) = 1/4

(ii)Let B be event of getting not a diamond card

n (B) = 39

Probability of getting not a diamond card P(B) = n (B)/n(S)

= 39/52

P(B) = 3/4

(iii)Let C be event of getting not an ace card

n (C) = 4

Probability of getting not an ace card P(C) = n (C)/n(S)

= 4/52

P(C) = 1/13

(i) Probability of getting a diamond card, P(A)= 1/4

(ii) Probability of getting not a diamond card P(B)= 3/4

(iii) Probability of getting not an ace card P(C) = 1/13

probability worksheet solution2 probability worksheet solution2