Question

A standard deck of ? SB berg used to play a game There are four suits hearts, da n nds clubs and spadel each hav g 13 face (ace. 2 3 4 S 6. Z. 9 10 jack gi cards. This conglede deck is thoroughly mixed, and you wll receive the first 2 cards from e deck without replacement. Complete prs (a) through (d) e and krg makrg at a t 52 a What is the probability that both cards are clubs? bothubRound to four decimal places as needed) b. What is the probabilaity that the irst cand is a 7 and the second card is a 5 or a 67 Pi7 followed by 5 orRound to four decimal places as needed) c. If you were samping with replacement what wouid be the answer in (a)7 lboth clubs-Round to four decimal places as needed d. In the game of blackjack, the picture cards jack queen, king) count as 10 points, and the ace counts as elther 1 or 11 points All other cards are counbed at their face value. Blackjack is achieved 2 cards total 21 points. What is the probablity of getting blackjack in this proble blackjack (Round to four decimal places as nooded

Answer 1

a. The probability that both the cards are clubs is 13 12 p(clubs)Ex- 52 51 - 0.0588 b. The probability that the first card is 7 and the second card is 5 or 6 will be 52 51 -0.0121 c. The probability that both the cards are clubs if sampled with replacement is 13 13 52 52 0.0625 p clubsx d. A blackjack can be achieved if the ace is counted as 11 to get the sum of 21 for both the cards. The probability will be calculated as follows 12 4 4 12 52 51 5251 0.0362