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Home » A card is selected from a pack of cards. (a) How many points are there in the sample space? (b) Calculate the probability that the card is an ace of spades.
A card is selected from a pack of 52 cards. (a) How many points are there in the sample space? (b) Calculate the probability that the card is an ace of spades.
CBSE | Class 11 | Exercise 16.3 | Maths | NCERT | Probability
A card is selected from a pack of 52 cards. (a) How many points are there in the sample space? (b) Calculate the probability that the card is an ace of spades.

We know that in a deck there are 52 cards.

(a) The event of number of points in the sample space = 52.

Therefore, n\left( S \right){\text{ }} = {\text{ }}52.

(b) suppose, A be the event of drawing an ace of spades.

A = {\text{ }}1

So, n{\text{ }}\left( A \right){\text{ }} = {\text{ }}1

P\left( {Event} \right) = \frac{{Number{\text{ }}of{\text{ }}outcomes{\text{ }}favorable{\text{ }}to{\text{ }}event}}{{Total{\text{ }}number{\text{ }}of{\text{ }}possible{\text{ }}outcomes}}

P(A) = \frac{{n(A)}}{{n(S)}}

Therefore, P(A) = \frac{1}{{52}}.

i

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