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Question

A coin is tossed twice. If events A and B are defined as A = head on first toss, B = head on second toss. Then the probability of AB=


A

14

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B

12

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C

18

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D

34

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Solution

The correct option is D

34


Step 1: Find the sample set and the set for event A,B

We have been given that a coin is tossed twice.

S={HH,HT,TH,TT}n(S)=4

Let, event A: head on first toss

A={HH,HT}n(A)=2

Let, event B:head on second toss

B={TH,HH}n(B)=2

We need to find the probability of AB.

Step 2: Find the required probability P(AB)

AB={HH,HT,TH}n(AB)=3

The required probability is,

P(AB)=n(AB)n(S)P(AB)=34

Hence, option (D) is the correct answer.


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