Answer :

Ten cards are numbered, hence the sample space is

S = {1, 2, 3, 4, 5, 6, 7, 8, 9, 10}, n(S) = 10

Let event A be the even number card drawn, then

A = {2, 4, 6, 8, 10}, n(A)=5

Now probability that an even card is drawn is

Let event B be the cards greater than 3, then

B = {4, 5, 6, 7, 8, 9, 10}, n(B) = 7

So the probability of A∩B

So, A∩B = {4, 6, 8, 10}, n(A∩B)=4

So the required probability will become

Hence the probability that an even card is drawn out of cards that are more than 3 is

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