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Real Numbers

Question
CBSEENMA10009401
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Cards marked with numbers 3,4, 5,.....,50 are placed in a box and mixed throughly. One card is drawn at random from the box. Find the probability that number on the drawn card is
(i)    divisible by 7
(ii)    a number which is a square.

Solution

Total number of cards 48
i.e.,    n(S) = 48
(i) Let A be the favourable outcomes of getting a numbers divisible 7, then
A = {7,14,21,28,35,42,49}
⇒    n(A) = 7
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 7 over 48

(ii) Let B be the favourable outcomes of getting number a which is a perfect square, then
B = {4, 9, 16, 25, 36, 49)
⇒    n(B) = 6
Therefore,
P(B) = fraction numerator straight n left parenthesis straight B right parenthesis over denominator straight n left parenthesis straight S right parenthesis end fraction equals 6 over 48 equals 1 over 8.

Some More Questions From Real Numbers Chapter

The probability of an event that cannot happen is ________ Such an event is called __________.

The probability of an event that is certain to happen is ________ Such an event is called _________.

The sum of the probabilities of all the elemen-tary events of an experiment is ______.

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