Question

1. If we draw four cards from a deck of 52 what is the probability they...

1. If we draw four cards from a deck of 52 what is the probability they will have different suits?

2. Suppose there are m men and w women to attend a concert, all to be seated at the front row. What is the probability all of the women will be sitting next to one another if it is equally likely for anyone to pick any seat?

3. Suppose from a collection of n objects some r of them are drawn. Suppose further that we preselect N objects of this set of n objects. What is the probability that none of the preselected N is included in the drawn r objects if the sampling is:
a. without replacement
b. with replacement
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Answer #1

Question 1)

Selecting 4 cards, each from a different suit.

1 from hearts and 1 from diamonds and 1 from spade and 1 from club.

Therefore, total number of selections is 13c1*13c1*13c1*13c1 or 13^4 =28561

total sample space =52c4 =270725

p =28561/270725

=0.1055

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