Q12 of 28 Page 16

The face cards are removed from a full pack. Out of the remaining 40 cards, 4 are drawn at random. What is the probability that they belong to different suits?

As we know


four cards are drawn from the remaining 40 cards, so we have to find the probability that all of them belong to different suit


total possible outcomes of drawing four cards are 40C4


therefore n(S)= 40C4


let E be the event that 4 cards belong to different suit


n(E)= 10C1× 10C1×10C1×10C1





= 10× 10× 10× 10


=10000





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The numbers 1, 2, 3 and 4 are written separately on four slips of paper. The slips are then put in a box and mixed thoroughly. A person draws two slips from the box, one after the other, without replacement. Describe the following events:

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B = The number on the second slip is greater than 2


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D = The number on the second slips is twice that on the first slip.


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