Is it possible to get a detailed example because this will be on my test and I d

Question

Is it possible to get a detailed example because this will be on my test and I dont really understand it

8. Suppose tha two cards are randomly selected frorn a standard 52-card deck. a) What is he probability that the first card is a cub and tho Sccond card is a club he sampling is done without replacement? (by What is the probability that the first card is a club and the sccond card is a club if the sampling is done with replacement? (a) If thc sampling is donc without replacement, tho probability tha the first card is a club and the second card is a club is Round to three dccimal places a ncoded.) (b) If he sampling is done with replacement, the probability that the first c is a club and the second card is a club is ard (Round to three decimal places as needed T. 50 you just received d s ofleri lelevisions. Four of ule lelevisions are defeclive. Irlwu lelevisioms ale randorrily selscled, cumpule lhe probabilily that bulh lelevisi k. What is lhe probatility a. leis. one of lhe lwo lelevisions does nul work? The probability tha bul lelevisiuns work is (Round to three decimal places as needed. The probability that at least one otthe twn tele 5lons does work is ound lo thrcc decimal placc3 as nccdod.)

Explanation / Answer

a) as sampling is done with out replacement

probabilty that first card is club=13/52 as there are 13 club cards out of 52 in a deck

and if first card is club there remain 12 card of club in 51 cards

hence probabilty that first card is club and second card is a club is =(13/52)*(12/51)=0.059

b) with sampling if first card is club , again there are 13 club in a deck of 52

hence probabilty that first card is club and second card is a club is = (13/52)*(13/52)=0.0625

7) probabilty that both television works =P(selecting first out of 6 good*second out of 5 remaining good sets)

=(6/10)*(5/9)=0.333

probability that at least one does not work=1-P(both does work good)=1-0.333=0.667

please revert if furthere explanation is required

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