According to a? poll, about 1717? % of adults in a country bet on professional sports. data indicates that 45.345.3? % of the adult population in this country is male. assuming that betting is independent of? gender, compute the probability that an adult from this country selected at random is a male and bets on professional sports. ? p(male and bets on professional ? sports)equals= nothing ? (type an integer or decimal rounded to four decimal places as? needed.) ? (c) using the result in part? (b), compute the probability that an adult from this country selected at random is male or bets on professional sports. ? p(male or bets on professional ? sports)equals= nothing

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.

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