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When tossed, a certain coin has equal probability of landing on either side. If the coin is tossed 3 times, what is the probability that it will land on the same side each time?

When tossed, a certain coin has equal probability of landing on either side. If the coin is tossed 3 times, what is the probability that it will land on the same side each time? Correct Answer 1/3

We need to determine the probability that a coin lands on the same side for all 3 tosses of the coin. This means that the 3 - toss outcome will be either H - H - H or T - T - T. P(T - T - T) = 1/2 x 1/2 x 1/2 = 1/8 P(H - H - H) = 1/2 x 1/2 x 1/2 = 1/8 Thus, the probability that the coin lands on the same side each time is 1/8 + 1/8 = 2/8 = 1/4. (ans)

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