17 cards numbered 1,2,3,.......17.are put in a box and mixed thoroughly. one person draws a card from the box. find the probability that the number on the card is prime
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basically there are 6 ones 6 twos and 5 threes so 11 out of the 17 cards are prime
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The cards are mixed thoroughly and a card is drawn at random from the box means that all the outcomes are equally likely.
Sample space = {1,2,3,...., 17} which has 17 equally likely outcomes.
Let C be the event 'the number on the card drawn is prime', then
C = {2, 3,5,7,11,13,17}.
Therefore, The number of favourable outcomes to the event C = 7.
Therefore, P (prime) = 7/17.
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