Probability
posted by Mary .
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
2630  201 students
3135  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.
Please help.
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 2630 age group then is 201/total above
Probabality is always the number of likely draws out of the total possible pool.
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