MATH SOLVE

4 months ago

Q:
# 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.

Accepted Solution

A:

Answer:C. They have the same chance of winning.Step-by-step explanation:Probability (2 tails) = 1/2 * 1/2 = 1/4Probability( 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.