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Two cards are drawn from a standard deck of cards. Determine the probability that the first card
is a Heart and the second card is an Ace.
Solution
Here,
P(heart then ace) = P(heart) P(ace|first is heart of ace) + P(heart) P(ace|first is not heart of ace)
Thus,
P(heart then ace) = (1/4)(3/51) + (1/4)(4/51)
= 7/204 or 0.034313725 [ANSWER]

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Two cards are drawn from a standard deck of cards. Determine the pro.pdf

  • 1. Two cards are drawn from a standard deck of cards. Determine the probability that the first card is a Heart and the second card is an Ace. Solution Here, P(heart then ace) = P(heart) P(ace|first is heart of ace) + P(heart) P(ace|first is not heart of ace) Thus, P(heart then ace) = (1/4)(3/51) + (1/4)(4/51) = 7/204 or 0.034313725 [ANSWER]