All the three face cards of spades are removed from a well shuffled pack of 52 cards. A card is then drawn at random from the remaining pack. Find the probability of getting: (i) a black face card (ii) a queen - Noon Academy

All the three face cards of spades are removed from a well shuffled pack of 52 cards. A card is then drawn at random from the remaining pack. Find the probability of getting: (i) a black face card (ii) a queen

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

All the three face cards of spades are removed from a well shuffled pack of 52 cards. A card is then drawn at random from the remaining pack. Find the probability of getting: (i) a black face card (ii) a queen

Solution:

We have,

Total number of cards = 52

If 3 face cards of spades are removed

Then, the remaining cards = 52 – 3 = 49 = number of possible outcomes

So, n(S) = 49

(i) Number of black face cards left = 3 face cards of club

Event of drawing a black face card = E = 3

So, n(E) = 3

Hence, probability of drawing a black face card = n(E)/ n(S) = 3/49

(ii) Number of queen cards left = 3

Event of drawing a black face card = E = 3

So, n(E) = 3

Hence, probability of drawing a queen card = n(E)/ n(S) = 3/49

i

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