[2 Mark Question Answer]

Question 12 Marks

A card is drawn from a well-shffled pack of 52 cards. Find the probability that the card drawn is :
(i) a black king ?
(ii) a jack?
(iii) a spade?
(iv) a king or a queen?

Answer

(i) $\frac{1}{26}$$\qquad$(ii) $\frac{1}{13}$$\qquad$(iii) $\frac{1}{4}$$\qquad$(iv) $\frac{2}{23}$

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Question 22 Marks

19 cards, numbered 1, 2, 3, ....., 19 are put in a box and mixed thoroughly. One card is chosen at random from the box. What is the probability that the number on the chosen card is :
(i) a prime number ?
(ii) a multiple of 4?
(iii) a composite number less than 10 ?
(iv) neither divisible by 3 nor 5 ?

Answer

(i) $\frac{7}{19}$$\qquad$(ii) $\frac{4}{19}$$\qquad$(iii) $\frac{4}{19}$$\qquad$(iv) $\frac{12}{19}$

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Question 32 Marks

Two coins are tossed simultaneously. Find the probability of getting :
(i) exactly one head
(ii) at least one tail
(iii) no tail
(iv) at most one head

Answer

(i) $\frac{1}{2}$$\qquad$(ii) $\frac{3}{4}$$\qquad$(iii) $\frac{1}{4}$$\qquad$(iv) $\frac{3}{4}$

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Question 42 Marks

A die is rolled once. What is the probability of getting :
(i) an odd number?
(ii) a composite number?
(iii) a number less than 5?
(iv) a multiple of 3?

Answer

(i) $\frac{1}{2}$$\qquad$(ii) $\frac{1}{3}$$\qquad$(iii) $\frac{2}{3}$$\qquad$(iv) $\frac{1}{3}$

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