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Forget conventional ways of solving math questions. In PS, IVY approach is the easiest and quickest way to find the answer.

Robert tossed a fair coin 3 times. What is the probability that the coin landed heads up exactly twice?

A. 0.125
B. 0.250
C. 0.375
D. 0.750
E. 0.875



The probability is exactly same as the cion landed tail up once. That is 3*(1/2)^3 = 3/8 =0.375.


The answer is, therefore, (C).
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possible outcomes after tossing a fair coin 3 times:
HHH
HHT
HTH
HTT
THH
THT
TTH
TTT

out of that only 3 favourable cases are required
probability = 3/8 = 0.375
Answer - C
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Given that Robert tossed a fair coin 3 times and we need to find What is the probability that the coin landed heads up exactly twice?

Coin is tossed 3 times => Total number of cases = \(2^3\) = 8

To find the cases in which the coin lands on heads exactly twice we need to select two places out of three _ _ _ in which we will get Heads.

This can be done in 3C2 ways = \(\frac{3!}{2!*(3-2)!}\) = \(\frac{3*2!}{2!*1!}\) = 3 ways

=> P(2H) = \(\frac{3}{8}\) = 0.375

So, Answer will be C
Hope it helps!

Watch the following video to learn How to Solve Probability with Coin Toss Problems

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