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Real Numbers

Question
CBSEENMA10009402

Cards each marked with one of the numbers 6, 7, 8,....., 15 are placed in a box and mixed thoroughly. One card is drawn at random from the box. What is the probability of getting a card with number less than 10?

Solution

Total no. of cards : 10 i.e., n(S) = 10
Let A be the favourable outcomes of getting a card with numbers less than 10, then
A = {6, 7, 8, 9}
i.e., n(A) = 4
Therefore,
P(A) = fraction numerator straight n left parenthesis straight A right parenthesis over denominator straight n left parenthesis straight S right parenthesis end fraction equals 4 over 10 equals 2 over 5.