making a total of 52 cards. This complete deck is thoroughly mixed, and you will
ID: 2927133 • Letter: M
Question
making a total of 52 cards. This complete deck is thoroughly mixed, and you will receive the first 2 cards from the deck without replacement P(toth hearts)-0.0580 (Round to four decimal places as neoded b. What is the probability that tho first card is a 10 and the second card is a 5 or a 6 P(10 tollowed by S or 6)(Round to four deoimal places as neoded) There nre bur suits heart, diamonds, dubs, and spades), 00ch having 13 facos (aon, 2, 3, 4, 5, 6, 7. 8, 9, 10. jack·queen, and kirg), Hw Score: 25%, 0.75 of 3 pt first 2 cards from the deck without replacement. Complete parts (o) through (d) n the 2Explanation / Answer
Total deck cards= 52
Total red cards= 26,total black cards=26.
Total hearts cards =13, total 10 cards=4
a)p(both cards are heart)=13C2/52C2
. =(13!/(13-2)!*2!)/(52!/(52-2)!*2!) by formula use of permutation .
. =78/1326
=0.0588.
b) total 10 no. Cards= 4
total nno.of cards 5 and 6 in deck=8
p ( 1st card is 10 and 2nd card is 5 or 6)=4C1*8C1/(52C2)
:- 4C1=4 and 8C1=8 by using formula combination. 52C2=1326. From (a).
=4*8/1326
=0.0241.
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