We are given the two probabilities:
P (bets on professional sports) = 17% = 0.17
P (adult male) = 45.3% = 0.453
-We are to find for the probability that a selected adult is male AND bets on professional sports. Since the keyword is “and” therefore this means that we have to multiply the two probabilities, that is:
P (adult male AND bets on professional sports) = P (adult male) * P (bets on professional sports)
P (adult male AND bets on professional sports) = 0.453 * 0.17
P (adult male AND bets on professional sports) = 0.07701 = 0.0770
Therefore there is a 0.0770 chance or 7.70% chance that the selected adult satisfies the above criteria.
-We are to find for the probability that a selected adult is male OR bets on professional sports. Since the keyword is “or” therefore this means that we have to add the two probabilities, that is:
P (adult male AND bets on professional sports) = P (adult male) + P (bets on professional sports)
P (adult male OR bets on professional sports) = 0.453 + 0.17
P (adult male OR bets on professional sports) = 0.6230
Therefore there is a 0.6230 chance or 62.30% chance that the selected adult satisfies the above criteria.