Vinod picks up a card at random from a set of cards numbered 1 to 150.if the number on the card that he picks up is a multiple of 7,he wins rs.30.if it is a multiple of 13,he wins rs.60 and if it is a multiple of 7 and 13,he wins rs.100.in the long run,what is the amount Vinod will gain on an average.if he has to pay rs.5 as a participation fee for each draw?
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Answer:
Multiples of 3 0r 7 fro 1 to 20 are 3,6,7,9,12,14,15,18.
Therefore, required probability, P =
20
8
=
5
2
.
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