Question

Aaron flips a penny 100 times. HEADS comes up 58 times. Based on Aaron's experiment, what is the probability that TAILS turns up when a penny is flipped 100 times? Compare the theoretical probability of HEADS coming up to Aaron's experimental probability.

A. 21/50 ; 1/2 < 29/50

B. 29/50 ; 1/2 < 29/50

C. 21/50 ; 1/2 = 1/2

D. 21/50 ; 21/50 <29/50

Answer 1

Number of TAILS outcomes = 100 - 58 = 42

Experimental probability of TAILS = Number of TAILS outcomes / Total number of outcomes = 42/100 = 0.42

The theoretical probability of getting HEADS or TAILS is 0.5 each, assuming the penny is fair.

The experimental probability of HEADS is 58/100 = 0.58, which is close to the theoretical probability of 0.5. This suggests that Aaron's experiment is consistent with the theoretical probability. Similarly, the experimental probability of TAILS is 0.42, which is also close to the theoretical probability of 0.5. This further supports the idea that the penny is fair.