Question

23. Two coins are tossed. Alan gets a point if the coins match and Sondra gets a point if they do not match.

Which of the following statements are true?
A. Alan is more likely to win.
B. Sondra is more likely to win.
C. Alan and Sondra have the same chance of winning.
D. Sandra can never win.​

Answer 1

The correct answer is C. Alan and Sondra have the same chance of winning.

There is a same chance of the being the same as it is not being the same. Thus, they both have an equal chance of winning.

Hope this helps!

Answer 2

C. They have the same chance of winning.

Explanation:

Probability (2 tails) = 1/2 * 1/2 = 1/4

Probability( 2 heads = 1/2 * 1/2 = 1/4.

Therefore the Probability they match = 1/4 + 1/4 = 1/2.

The probability of they don't match = 1 - 1/2 = 1/2 because all probabilities add up to 1. There are only 4 possible results and their probabilities must add up to 1.