# Probability

posted by .

Find the conditional probability. Suppose one card is selected at random from an ordinary deck of 52 playing cards.

Let A = event a queen is selected
B = event a diamond is selected

Determine P(B[A)

How do you go about solving this one?
I know there are 4 queens, 13 diamonds
13/52 4/52 = 17/52

Is that correct?

One last question...

The age distribution of students at a community college is given below.

Age(years) # Numbers of students

Under 21 - 411 students
21- 25 - 407 students
26-30 - 201 students
31-35 - 51 students
Over 35 - 26 students

A student from the community college is selected at random. Find the conditional probability that the student is between 26- 30 given that he or she is at least 26.

I would also like to know how to work this problem out.

If a queen is selected, there are 51 cards left, and 4 diamonds. So Pr(B given A) is 4/51.

If she is at least 26, then there are a total of 201+51+ 26 students in that age pool. Pr of being in 26-30 age group then is 201/total above

Probabality is always the number of likely draws out of the total possible pool.

## Similar Questions

1. ### Probability

Could someone please check this and let me know if I'm doing it correctly?
2. ### math

One card is selected at random from a standard 52-card deck of playing cards. Find the probability that the card selected is a red king. 1 out of 26, There are 2 red kings in 52 cards so it would be 2 / 52 and then you sipmlify to …
3. ### 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 there …
4. ### math

Two cards are selected at random without replacement from a well-shuffled deck of 52 playing cards. Find the probability of the given event. (Round your answer to three decimal places.) find the probability that A pair is not drawn.
5. ### PROBABILITY MATH

Suppose one card is selected at random from an ordinary deck of 52 playing cards. Let A= event a diamond is selected B=event a club is selected Determine P(A|(not B)) Could some one explain this to me and tell me how they got the answer
6. ### PROBABILITY MATH

Suppose one card is selected at random from an ordinary deck of 52 playing cards. Let A= event a diamond is selected B=event a club is selected Determine P(A|(not B)) Could some one explain this to me and tell me how they got the answer
7. ### PROBABILITY MATH

Suppose one card is selected at random from an ordinary deck of 52 playing cards. Let A= event a diamond is selected B=event a club is selected Determine P(A|(not B)) DrBob said it is 1/3 but how did he get it?
8. ### Math

Two cards are selected at random without replacement from a well-shuffled deck of 52 playing cards. Find the probability of the given event. A pair is not drawn.
9. ### 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 card …
10. ### statistics

Two cards selected from standard deck of 52 cards. The first is replaced before second card selected. Find the probability of selecting a diamond and then a king

More Similar Questions