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