Question

Jim, Sergio, Eduardo, and Simone have all been invited to a dinner party. They arrive randomly and each person arrives at a different time. a. In how many ways can they arrive? b. In how many ways can Jim arrive first and Simone last? c. Find the probability that Jim will arrive first and Simone last. (Type an integer.) An apartment complex offers apartments with four different options, designated by A through D. There are an equal number of apartments with each combination of options. |А B с D one bedroom one bathroom first floor no special view two bedrooms two bathrooms second floor golf course view three bedrooms three bathrooms third floor lake view four bedrooms fourth foor parking lot view If there is only one apartment loft, what is the probability that it is precisely what a person is looking for, namely one bedroom, three bathrooms, fourth floor, and a lake or no special view The probability is (Type an integer or a simplified fraction.) A box contains 11 transistors, 4 of which are defective. If 4 are selected at random, find the probability of the statements diw. a. All are defective b. None are defective a. The probability is (Type a fraction. Simplify your answer.)

Answer 1

soldion: 41 transistos, 4 of them defeathe good working = (1-1) = 6 transistore probability - (now of favouable events) Dor of total events All are defeative If u are selected at randon favourable event is 4cy (choosing 4 from u defeative) total event 8 is licy 104 i probability - Trcu - 4ly - ne O! (no III n! 11(4=nG= (A-DI! 330 prabability = 0 6 None are defeative 1P 4 ore selected at random favourable event scy choosing 4 from 6 offective) Total events 18 illy = 336 Gly= ncr = ni (1111! 15 .: Balability 330

4 - 3 4 Probability of gooting one bedroom) Probability of getting three ad room = (bathroom) Probability of getting fourth floor = 4 Probability of getting a lake view os no specal view is +2) Merefore, Probability of getting one bedmom, three bathrooms, fourth floor and a lake view or no special view HAC3) 18 3 1 4 Probability: 576