Probability – Exercise – 1

6. A single letter is selected at random from the word “PROBABILITY”. The probability that the selected letter is a vowel is :

(a) 2/11
(b) 3/11
(c) 4/11
(d) 0

Answer
Answer : (d)
Explanation
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7. A coin is tossed and a dice is rolled . The probability that the coin shows the head and the dice shows 6 is :

(a) 1/8
(b) 1/12
(c) 1/2
(d) 1

Answer
Answer : (b)
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8. A card is drawn at random from a pack of cards . The probability of this card being a red or a queen is :

(a) 1/13
(b) 1/26
(c) 1/2
(d) 7/13

Answer
Answer : (d)
Explanation
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9. If P (A) = 0.4, P (B) = x, P (A ∪ B) = 0.7 and the events A & B are independent, then x =

(a) 1/3
(b) 1/2
(c) 2/3
(d) none of these

Answer
Answer : (b)
Explanation
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10. A & B toss a coin alternatively, the first to show a head being the winner. If A starts the game, the chance of his winning is :

(a) 5/8
(b) 1/2
(c) 1/3
(d) 2/3

Answer
Answer : (d)
Explanation
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