Step by Step solution please. A card is drawn at random from a standard deck of

Question

Step by Step solution please.

A card is drawn at random from a standard deck of 52 cards. Find the following conditional probabilities a) The card is a club, given that it is black. b) The card is black, given that it is a club c) The card is a jack, given that it is black. d) The card is a jack. given that it is a face card. a) The probability that a card is a club, given that it is black, is (Simplify your answer.) ddb) The probability that a card is black. given that it is a club, is Simplify your answer) c) The probability that a card is a jack, given that it is black, is 0.64 21.h (Simplify your answer.) gar d) The probability that a card is a jack, given that it is a face card is are v (Simplify your answer.) Enter your answer in each of the answer boxe

Explanation / Answer

(a) P(Club/Black) = P(Club & Black)/P(Black)

P(Club & Black) = 13/52

P(Black) = 26/52

So,

P(Club/Black) = 13/26 = 0.5

(b) P(Black/Club) = P(Black & Club)/P(Club) = 13/13 = 1

(c) P(Jack/Black) = P(Jack & Black)/P(Black)

P(Jack & Black) = 2/52

P(Black) = 26/52

So,

P(Jack/Black) = 2/26 = 0.0769

(d) P(Jack/Face card) = P(Jack & Face card)/P(Face card)

P(Jack & Face card) = 12/52

P(Face card) = 12/52

So,

P(Jack/Face card) = 1

Related Questions

Navigate

• Browse (All)
• Browse S
• Subjects

---

---

Integrity-first tutoring: explanations and feedback only — we do not complete graded work. Learn more.