====== 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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