Flip two coins 50 times and record the number of times exact

Flip two coins 50 times and record the number of times exactly one head was obtained. Determine the empirical probability of flipping exactly one head. How does this compare to the theoretical probability of flipping a coin and getting heads.

Solution

2 coins are tossed. Getting one head in toss of two coins in one toss = 1/2 (HT or TH)

For 50 times getting one head = Prob for Head and tail in each toss + Prob for Tail and Head in each toss

= (0.5)⁵⁰+(0.5)⁵⁰

=2 (0.5)⁵⁰

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It can also be determined by 2(0.5)²⁵(0.5)²⁵