Question

A card is randomly drawn from a deck of well-shuffled playing cards. Let event be that the card is a jack and event F be that the card is a heart. A standard 52 card deck is split ovenly into four suits of cards (heart diamonds, clubs, and spades). Each suit contains the cards ac,2,310, jack, goon, king a) Find PE) and P(E) b) Find PF) and P(F) c) Find PEUF)
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Answer 1

Ans! According to question a cand is randomly drawn from a deck of well-shuffled 52 playing cards. (a) Ans event E: The cand drawn is jack There are four suits in a deck of playing cards. Number of jack in each Suit = 1 Total number of jack in playing cand -4 a geck of

"Probability that the drawn cand is jack will be Number of jack in a PCE) deck of playing cand Total number of conds in deck of playing cand 4 il 52 P(E) = Ans 13 :: PCE') = 1-PCE) C1- 13 - 13-) 13 - 12 13 =/PLEJ = 12 Ans 13

(6) Ane event F: The drawn cand is heart. of playing ca dech which are 3 "There are four suits in a Cand. Heart Diarmond club spade In each Suit number of cond=13 ... Total number of heants in a deck of playing cand = 13 Probability that the drawn cand is heart will be

P(F) = Number of heart in a cand Total number of cands in a deck of Cand 13 52 deck of playing playing P(F) 1 = 4 Ans P(F') 1 - PCF) 1-1 - 4 =4-1 4 - 3 / 3 3 4 PCF') = 2 / 4 Ang

(e) Ans: PIE) and P(F) independent events both are ..PLEUF) - PLE) x P (F) Х 13 4 = 52 52 --PLEUF) = 52 Ans