A fair coin is tossed 3 times. If it is known that the first toss resulted in a head, what is the probability of getting exactly 2 heads in total? A. 1/2 B. 1/4 C. 3/8 D. 1/3 Answer: A) 1/2 Explanation: Given first is Head, remaining 2 tosses can be {HH, HT, TH, TT}. To get exactly 2 heads total, the next two must have exactly 1 head: {HT, TH}. Probability = 2/4 = 1/2.

imo class 12 probability

A fair coin is tossed 3 times. If it is known that the first toss resulted in a head, what is the probability of getting exactly 2 heads in total?

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A fair coin is tossed 3 times. If it is known that the first toss resulted in a head, what is the probability of getting exactly 2 heads in total?

A. 1/2
B. 1/4
C. 3/8
D. 1/3

Answer: A) 1/2

Explanation: Given first is Head, remaining 2 tosses can be {HH, HT, TH, TT}. To get exactly 2 heads total, the next two must have exactly 1 head: {HT, TH}. Probability = 2/4 = 1/2.

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