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Real Numbers

Question
CBSEENMA10009641
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A card is drawn at random from a well-shuffled deck of playing cards.

(i) a card of a spade or an ace.
(ii) a black king
(iii) neither a jack nor a king
(iv) either a king or queen

Solution

Total number of cards = 52
(i) Number of cards that are spades or aces  = 13 + 3 = 16
Probability that the card  drawn is a card of spade or an ace
 =  fraction numerator Favourable space number space of space outcomes over denominator Total space number space of space outcomes end fraction space equals space 16 over 52 space equals space 4 over 13 
(ii) Number of black kings = 2
Probability that the card  drawn is a black king 

=  fraction numerator Favourable space number space of space outcomes over denominator Total space number space of space outcomes end fraction space 2 over 52 space equals space 1 over 26
(iii) Number of cards that are neither jacks nor kings = 52 - 8 = 44
Probability that the card drawn is neither a jack nor a king 
 =  fraction numerator Favourable space number space of space outcomes over denominator Total space number space of space outcomes end fraction space equals space 44 over 22 space equals space 11 over 13
(iv) Number of cards that are kings or queens = 4 + 4 = 8
Probability that the card drawn is either a king or queen 
 = fraction numerator Favourable space number space of space outcomes over denominator Total space number space of space outcomes end fraction space equals 8 over 52 space equals space 2 over 13

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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