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Three coins are tossed, what is the probability of getting: two heads or two tails

Solution

Three coins are tossed, what is the probability of getting: two heads or two tails

Solution

\frac{3}{4}

Solution steps

Find the probability of getting: 2 heads:

\frac{3}{8}

Find the probability of 2 tails:

\frac{3}{8}

Since the events are disjoint, Use the formula

P (X_{1} \lor X_{2} \lor \dots \lor X_{k}) = P (X_{1}) + P (X_{2}) + \dots + P (X_{k})

= \frac{3}{8} + \frac{3}{8}

\frac{3}{8} + \frac{3}{8} = \frac{3}{4}

= \frac{3}{4}

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