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  3. There are 30 cards, of same size, in a bag on which numbers 1 to 30 are written. One card is taken out of the bag at random. Find the probability that

. There are 30 cards, of same size, in a bag on which numbers 1 to 30 are written. One card is taken out of the bag at random. Find the probability that

Best Answer

Total number of event = 30

Favourable condition for selection of a card multiple of 3 

3, 6, 9, 12, 15, 18, 21, 24, 27, 30 

Total condition = 10

Probability to select a card pisible by three P(A) = 10/30 = 1/3

Probability to select a card not pisible by three p(B)

We know that 

P(A)+P(B) = 1

P(B) = 1-1/3 = 2/3

 

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