posted by Mary on .
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
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.