From a well shuffled deck of 52 cards, one card is drawn. Find the probability that the card drawn is: (i) a face card (ii) not a face card - Noon Academy

From a well shuffled deck of 52 cards, one card is drawn. Find the probability that the card drawn is: (i) a face card (ii) not a face card

CBSE | Class 10 | Exercise 25C | Maths | Probability | Selina

From a well shuffled deck of 52 cards, one card is drawn. Find the probability that the card drawn is: (i) a face card (ii) not a face card

Solution:

We have, the total number of possible outcomes = 52

So, n(S) = 52

(i) No. of face cards in a deck of 52 cards = 12 (4 kings, 4 queens and 4 jacks)

Event of drawing a face cards = E = (4 kings, 4 queens and 4 jacks)

So, n(E) = 12

Thus, probability of drawing a face card = n(E)/ n(S) = 12/52 = 3/13

(ii) Probability of not drawing a face card = 1 – probability of drawing a face card

Thus, probability of not drawing a face card = 1 – 3/13 = (13 – 3)/ 13 = 10/13

i

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