A draws two cards with replacement from a well-shuffled deck of cards and at the same
time B throws a pair of dice. What is the probability that
(a) A gets both cards of the same suit and B gets a total of 6 ?
(b) A gets two jacks and B gets a doublet ?
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Answer:
Given, A draws 2 cards with replacement from a pack of 52 cards
.
B throws a pair of dice.
Chances of A getting both cards of the same suit
P(A)=5213=41
Chances of B getting a total of 6
[(1,5),(2,4),(3,3),(4,2),(5,1)] on pair of dice P(B)=365
As both events are independent of each other,
P(E)=P(A)×P(B)
P(E)=41×365=1445
Answer. C.(1445).
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