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

Respuesta :

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.