# math

A card is selected from a deck of 52 playing cards. Find the probability of selecting

· a prime number under 10 given the card is a heart. (1 is not prime.)
· a diamond or heart given the card is red.
· a King, given that the card is not a spade.

Show step by step work. Give all solutions exactly in reduced fraction form

1. 👍 0
2. 👎 0
3. 👁 63
1. conditional probability:
P(A|B) read: prob of A, given B
= P(A∩B)/P(B)

let A be all primes under 10
B is all hearts
so A∩B is 2H, 2H, 5H, 7H, there are 4 of those

prob(prime under 10 | red) = (4/52)/(1/4) = 4/13

Here is a page with a nice explanation and examples of conditional probability.

1. 👍 0
2. 👎 0
posted by Reiny

## Similar Questions

1. ### Math

One card is selected from a deck of playing cards. Determine the probability of selecting: a card greater than 9 or a black card. hmmmmm....i don't play cards, i'm not even sure how many is in a deck...38??

asked by Jen on July 23, 2011
2. ### College Math

A card is selected from a standard deck of 52 playing cards. A standard deck of cards has 12 face cards and four Aces (Aces are not face cards). Find the probability of selecting · an even number ten or less given the card is a

asked by Heather on September 9, 2011
3. ### Math

A card is selected from a standard deck of 52 playing cards. A standard deck of cards has 12 face cards and four Aces (Aces are not face cards). Find the probability of selecting ·an eight given the card is a not a face card. ·a

asked by Jen on July 31, 2011
4. ### Math

One card is selected from a deck of playing cards. Determine the probability of selecting: a card greater than 9 or a black card.

asked by Jen on July 26, 2011
5. ### Math-New Question

One card is selected from a deck of playing cards. Determine the probability of selecting: a card greater than 9 or a black card

asked by Jen on July 26, 2011
6. ### probability

consider the experiment of selecting a card from an ordinary deck of 52 playing cards and determine the probability of the stated event. A card that is not a king and not a spade is drawn. I know there are 52 cards in a deck and

asked by alex on March 15, 2010
7. ### College Mathematics

Probability: "or" and "and" problem. Select one card, one card is selected from a deck of playing cards. Determine the probability of selecting a jack or a club.

asked by slomomo on March 10, 2013
8. ### College Mathematics

Probability. Select one card. One card is selected from a deck of playing cards. Determine the Probability of selecting a Jack OR a club. P(AorB)= P(A) + P(B) - P(A and B)

asked by slomomo on March 12, 2013
9. ### geometry

A card is selected from a standard deck of 52 playing cards. A standard deck of cards has 12 face cards and four Aces (aces are not face cards find the probability of selecting. an eight given the card is not a face card. a club

asked by angela on June 15, 2012
10. ### Math

A card is selected from a standard deck of 52 playing cards. A standard deck of cards has 12 face cards and four Aces (Aces are not face cards). Find the probability of selecting ·an eight given the card is a not a face card. ·a

asked by Jen on July 28, 2011
11. ### probability

Anne and Bob each have a deck of playing cards. Each flips over a randomly selected card. Assume that all pairs of cards are equally likely to be drawn. Determine the following probabilities: (1) The probability that at least one

asked by matt on September 7, 2015

More Similar Questions
{"found_math": false, "script_math_tex": 0, "script_math_asciimath": 0, "math_annotations": 0, "math_alttext": 0, "mathml": 0, "mathjax_tag": 0, "mathjax_inline_tex": 0, "mathjax_display_tex": 0, "mathjax_asciimath": 0, "img_math": 0, "codecogs_latex": 0, "wp_latex": 0, "mimetex.cgi": 0, "/images/math/codecogs": 0, "mathtex.cgi": 0, "katex": 0, "math-container": 0, "wp-katex-eq": 0, "align": 0, "equation": 0, "x-ck12": 0, "texerror": 0}