A single card is drawn from a standard 52-card deck. In problems 7-14, find the conditional...

Question

Question

A single card is drawn from a standard 52-card deck. In problems 7-14, find the conditional probability that:

The card is red, given that it is a jack.

math Statistics-And-Probability

Answer 1

Answer #1

1) P(Jack | Red) = P(Jack and Red)/P(Red)

Hence, 1/13 is the probability that the card is a jack, given that is red.

2) P(Red | Jack) = P(Red and Jack) / P(Jack)

Hence, 1/2 is the probability that the card is red, given that it is jack.

I hope this will help. Please comment if any doubt. Thank you.

Answer 2

Similar Homework Help Questions

A single card is drawn from a standard 52 card deck. Find the conditional probability that...

A single card is drawn from a standard 52 card deck. Find the conditional probability that the card is a heart, given that it is an ace. The probability that the card drawn is a heart, given that it is an ace is (Type an integer or a fraction)
A single card is drawn from a standard 52-card deck. Find the conditional probability that the...

A single card is drawn from a standard 52-card deck. Find the conditional probability that the card is black, given that it is a club. The probability that the card is a black is and the probability that the card is a club is (Simplify your answers)
A single card is drawn from a standard 52-card deck. Find the conditional probability that the...

A single card is drawn from a standard 52-card deck. Find the conditional probability that the card is black, given that it is a club 1 The probability that the card is a black is N- and the probability that the card is a club is (Simplify your answers.) The probability that the card is black, given that it is a club is (Simplify your answer.)

A card is drawn at random from a standard deck of 52 cards. Find the following...

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 queen, given that it is a face card. a) The probability that a card is a club,given that it is black is b)...
A single card is drawn from a standard 52-card deck. Let R be the event that...

A single card is drawn from a standard 52-card deck. Let R be the event that the card drawn is a red, and let F be the event that the card drawn is a face card. Find the indicated probability P(R'OF)
A single card is drawn from an ordinary 52-card deck

A single card is drawn from an ordinary 52-card deck. Find the probability of getting a heart and a jack.

A card is drawn randomly from a standard 52-card deck. Find the probability of the given...

A card is drawn randomly from a standard 52-card deck. Find the probability of the given event. (a) The card drawn is 4 The probability is : (b) The card drawn is a face card (Jack, Queen, or King) The probability is: (c) The card drawn is not a face card. The probability is : Question Help: D Post to forum Submit Question
X. A single card is draw ollowing probabilities 1) from a standard 52-card deck. Find the...

X. A single card is draw ollowing probabilities 1) from a standard 52-card deck. Find the The card draw (4 points each) and drawn is not a Red Ace r -0.25 = 1 T-P(Red Aco) 52 " The card drawn is a Red Jack or a Black Queen Read Jack = 0.0769 a Blach Q = 0.076952 4 1565 x 0. 07607 0.0764 - 0.1565 XI. TWO cards are drawn (without replacement from a standards Two cards are drawn (without...
If a single card is drawn from a standard 52-card deck, in how many ways could...

If a single card is drawn from a standard 52-card deck, in how many ways could it be a red card or a 7?

7.4-17 When a single card is drawn from an ordinary 52-card deck, find the probability of...

7.4-17 When a single card is drawn from an ordinary 52-card deck, find the probability of getting a red 7 or a black 8.