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Real Numbers

Question
CBSEENMA10009382
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The king, queen and jack of clubs are removed from a deck of 52 cards and then well shuffled. One card is selected from the remaining cards. Find the probability of getting
(i) a heart (ii) a kitty (iii) a club (iv) the 1O' of heart. 

Solution

If the king, queen and jack of clubs are removed from a deck of 52 cards, then possible outcomes become 49.
i.e.,    n(S) = 49 [52 –3 = 49]
(i) Let E be the favourable outcomes of getting a heart, then
n (E) = 13 Therefore,
P(E) = fraction numerator straight n left parenthesis straight E right parenthesis over denominator straight n left parenthesis straight S right parenthesis end fraction equals 13 over 49

(ii) Let F be the favourable outcomes of getting a king then,
n(F) = 3
Therefore,
P(F) = fraction numerator straight n left parenthesis straight F right parenthesis over denominator straight n left parenthesis straight S right parenthesis end fraction equals 3 over 49

(iii) Let G be the favourable outcomes of getting a club, then
n(G) = 10
Therefore,
P(G) = fraction numerator straight n left parenthesis straight G right parenthesis over denominator straight n left parenthesis straight S right parenthesis end fraction equals 10 over 49

(iv) Let H be the favourable outcomes of getting the 10 of hearts, then n(H) = 1
Therefore,
P(H) = fraction numerator straight n left parenthesis straight H right parenthesis over denominator straight n left parenthesis straight S right parenthesis end fraction equals 1 over 49


Some More Questions From Real Numbers Chapter

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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