Question 6 Exercise 6.4
Solutions of Question 6 of Exercise 6.4 of Unit 06: Permutation, Combination and Probablity. This is unit of A Textbook of Mathematics for Grade XI is published by Khyber Pakhtunkhwa Textbook Board (KPTB or KPTBB) Peshawar, Pakistan.
Question 6(i)
If one card is drawn at random from a well shuffled pack of $52$ cards. Then find the probability of each of the Drawing an ace card.
Solution
Total cards $$=52$$ An ace. Total ace cards $=4$. Hence the probability of getting ace card is: $$=\dfrac{4}{52}=\dfrac{1}{13}$$
Question 6(ii)
If one card is drawn at random from a well shuffled pack of $52$ cards. Then find the probability of each of the Drawing either spade or hearıs.
Solution
Total cards $=52$
Drawing either space or hearts
Total number of spade in deck of cards are $13$
total number of hearts are also $13$
Thus the probability of getting spacte or hcart is: $$\dfrac{13}{52}+ \dfrac{13}{52}=\dfrac{1}{4}+\dfrac{1}{4}=\dfrac{2}{4}=\dfrac{1}{2}$$
Question 6(iii)
If one card is drawn at random from a well shuffled pack of $52$ cards. Then find the probability of each of the Drawing a diamond card.
Solution
Total cards $=52$
Drawing a diamond card.
Total number of diamond cards in deck of eards is $13.$
Hence the probability of getting diamond card is: $$=\dfrac{13}{52}=\dfrac{1}{4}$$
Question 6(iv)
If one card is drawn at random from a well shuffled pack of $52$ cards. Then find the probability of each of the Drawing a face card.
Solution
Total cards $=52$(iv) Drawing a face card.
The total number of face cards in deck of card are $12.$
Thus the probability of getting a face card is: $$=\dfrac{12}{52}=\dfrac{3}{13}$$
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