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JAMB Mathematics 2010 Paper

Question : 46

Total: 49

If three unbiased coins are tossed, find the probability that they are all heads

Solution:

Concept:

For independent events, multiply the individual probabilities together.

Explanation:

For one fair coin, the probability of getting a head is:

P(H) = \frac{1}{2}

Since the three coins are tossed independently, the probability that all three show heads is:

P(\text{all heads}) = P(H) \times P(H) \times P(H)

= \frac{1}{2} \times \frac{1}{2} \times \frac{1}{2}

= \frac{1}{8}

Answer:

\frac{1}{8}

Hence, the correct option is D.

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