# DXC Technology Probability Questions and Answers Quiz-1

Question 1

Time: 00:00:00
A and B are two events such that P(A) = 0.4 and P(A ∩ B) = 0.2 Then P(A ∩ B) is equal to

0.4

0.4

0.7

0.7

0.8

0.8

0.5

0.5

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Question 2

Time: 00:00:00
` A problem in mathematics is given to three students A, B and C . If the probability of A solving the problem is 1⁄2 and B not solving it is 1⁄4 . The whole probability of the problem being solved is 63⁄64 then what is the probability of solving it ?`

1/2

1/2

4/5

4/5

7/8

7/8

3/7

3/7

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Question 3

Time: 00:00:00
`Let A and B be two events such that P(A) = 1⁄5 While P(A or B) = 1⁄2. Let P(B) = P. For what values of P are A and B independent?`

4/5

4/5

2/7

2/7

3/8

3/8

1/5

1/5

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Question 4

Time: 00:00:00
` If A and B are two mutually exclusive events with P(~A) = 5⁄6 and P(b) = 1⁄3 then P(A /~B) is equal to`

1/4

1/4

2/3

2/3

4/5

4/5

5/6

5/6

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Question 5

Time: 00:00:00
` If A and B are two events such that P(a) = 0.2, P(b) = 0.6 and P(A /B) = 0.2 then the value of P(A /~B) is`

0.2

0.2

0.4

0.4

0.5

0.5

0.6

0.6

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Question 6

Time: 00:00:00
`If A and B are two mutually exclusive events with P(a) > 0 and P(b) > 0 then it implies they are also independent`

True

True

False

False

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