A fair coin is flipped four times. Use a tree diagram to find the probability of observing exactly two heads.

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A fair coin is flipped four times. Use a tree diagram to find the probability of observing exactly two heads.

Solution

Decimal

0.375

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Solution steps

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The possible outcomes when a coin is thrown four times are 2· 2· 2· 2
Therefore, the number of possible outcomes: 2⁴

Find the number of favorable outcomes of observing exactly 2 heads: 6

Probability = number of favorable outcomestotal number of outcomes

=62⁴

62⁴ =38

=38

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A fair coin is flipped four times. Use a tree diagram to find the probability of observing exactly two heads.

Solution

Solution steps

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