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» Probabilities
1
In a throw of a coin, find the probability of getting a head.
A)
B)
C)
D)
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1
In a throw of a coin, find the probability of getting a head.
Answer:
A)
B)
C)
D)
Explanation:
Here S = {H, T} and E = {H}
2
What is the probability of getting a sum 9 from two throws of a dice? (M.B.A. 2002)
A)
B)
C)
D)
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2
What is the probability of getting a sum 9 from two throws of a dice? (M.B.A. 2002)
Answer:
A)
B)
C)
D)
Explanation:
In two throws of die, n (S) = (6 × 6) = 36
Let E = event of getting a sum 9 = {(3,6 ), (4, 5), (5, 4), (6, 3)}
3
Two dice are thrown simultaneously. What is the probability of getting two numbers whose produce is even. (Asstt. PF Commissioner’s Exam, 2002)
A)
B)
C)
D)
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3
Two dice are thrown simultaneously. What is the probability of getting two numbers whose produce is even. (Asstt. PF Commissioner’s Exam, 2002)
Answer:
A)
B)
C)
D)
Explanation:
In a simultaneous throw of two dice, we have n (S) = = (6 × 6) = 36
Let E = event of getting two numbers whose product is even.
Then, E = {(1,2), (1,4), (1,6), (2,1), (2, 2), (2,3), (2,4), (2,5), (2,6), (3,2), (3,4) (3,6), (4,1), (4,2), (4,3), (4,4), (4,5), (4,6), (5,2), (5,4), (5,6), (6,1), (6,2), (6,3), (6,4), (6,5), (6,6)}
∴ n (E) = 27
4
From a pack of 52 cards, two cards are drawn together at random. What is the probability of both the cards being kings. (M.B.A. 2002; Railways, 2002)
A)
B)
C)
D)
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4
From a pack of 52 cards, two cards are drawn together at random. What is the probability of both the cards being kings. (M.B.A. 2002; Railways, 2002)
Answer:
A)
B)
C)
D)
Explanation:
Let S be the sample space. Then,
Let E = event of getting 2 kings out of 4
5
Two cards are drawn together from a pack of 52 cards. The probability that one is a spade and one is a heart, is : (M.B.A. 2000)
A)
B)
C)
D)
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5
Two cards are drawn together from a pack of 52 cards. The probability that one is a spade and one is a heart, is : (M.B.A. 2000)
Answer:
A)
B)
C)
D)
Explanation:
Let S be the sample space. Then,
Let E = event of getting 1 spade and 1 heart
∴ n (E) = number of ways of choosing 1 spade out of 13 and 1 heart out of 13
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