Probability – Exercise – 1

26. India plays two matches each with West Indies & Australia . In any match the probabilities of India getting point 0, 1 & 2 are 0.45, 0.05 & 0.50 respectively. Assuming that the outcomes are independents, the probability of India getting atleast 7 points is :

(a) 0.8750
(b) 0.0875
(c) 0.0625
(d) 0.0250

Answer
Answer : (b)
Explanation
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27. If A & B are two independent events such that P (A ∩ B′) = 3/25 and P (A′ ∩ B) = 8/25, then P (A) =

(a) 1/5
(b) 3/8
(c) 2/5
(d) 4/5

Answer
Answer : (a)
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28. A pair of fair dice is rolled together till a sum of either 5 or 7 is obtained. Then the probability that 5 comes before 7 is :

(a) 1/5
(b) 2/5
(c) 4/5
(d) none of these

Answer
Answer : (b)
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29. One bag contains 5 white & 4 black balls . Another bag contains 7 white and 9 blac k balls . A ball is transferred from the first bag to the second and then a ball is drawn from second . The probability that the ball is white is :

(a) 8/17
(b) 40/153
(c) 5/9
(d) 4/9

Answer
Answer : (d)
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30. From the word “POSSESSIVE”, a letter is chosen at random. The probability of it to be S is :

(a) 3/10
(b) 4/10
(c) 3/6
(d) 4/6

Answer
Answer : (b)
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