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Home » A card is selected from a pack of 52 cards. (c) Calculate the probability that the card is an ace (d) Calculate the probability that the card is a black card
A card is selected from a pack of 52 cards. (c) Calculate the probability that the card is an ace (d) Calculate the probability that the card is a black card
CBSE | Class 11 | Exercise 16.3 | Maths | NCERT | Probability
A card is selected from a pack of 52 cards. (c) Calculate the probability that the card is an ace (d) Calculate the probability that the card is a black card

(c) A card is selected from a pack of 52 cards.

Suppose B be the event of drawing an ace.

We have four aces in a pack.

So, n\left( B \right) = {\text{ }}4.

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(B) = \frac{{n(B)}}{{n(S)}}

P(B) = \frac{4}{{52}}

Therefore, P(B) = \frac{1}{{13}}.

(d) Suppose, C be the event of drawing a black card.

We have 26 black cards in a pack.

So, n\left( C \right){\text{ }} = {\text{ }}26.

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(C) = \frac{{n(C)}}{{n(S)}}

P(C) = \frac{{26}}{{52}}

Therefore, P(C) = \frac{1}{2}.

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