Probability Test

Result

Probability Test - 5

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Weekly Quiz Competition

Question 1
1 / -0

Three identical dice are rolled. The probability that the same number will appear on each of them is

A

B

C

D
Question 2
1 / -0

If E₁ and E₂ are mutually exclusive events, then

A
P (E₁) + P (E₂) 1

B
P (E₁) + P (E₂) 1

C
P (E₁) + P (E₂) = 1

D
None of these.
Question 3
1 / -0

If A and B are any two events associated with an experiment, then A-B is not equal to

A
A B^c

B
A - (A B)

C
(A^c B)^c

D
None of these
Question 4
1 / -0

The probability that when 10 balls are distributed among 3 boxes, the first will contain 2 balls is

A

B

C

D
None of these
Question 5
1 / -0

A coin is tossed again and again. If tail appears on first three tosses, then the chance that head appears on fourth toss is

A

B

C

D
None of these
Question 6
1 / -0

The probability of having atleast one tail in five tosses of a coin is

A

B

C

D
1
Question 7
1 / -0

Let A and B be two independent events. The probability that A and B occur is and the probability that neither A nor B occurs is . The respective probabilities of A and B are

A

B

C

D
None of these
Question 8
1 / -0

The probability that a man will live for 10 more years is and that his wife will live 10 more years is The probability that neither will be alive in 10 years is

A

B

C

D
Question 9
1 / -0

If E is an even, then P () is equal to

A
P (E)

B
1 - P (E)

C
- P (E)

D
1 + P (E)
Question 10
1 / -0

A man speaks truth in 75% cases. He rolls a dice and reports that it is a six. The probability that it is actually a six is

A

B

C

D
None of these
Question 11
1 / -0

A and B are two events such that P (A) = 0.3 and P (A ) = 0.8. If A and B are independent, then P (B) is

A

B

C

D
None of these
Question 12
1 / -0

If the probability for A to fail in an examination is 0.2 and that for B is 0.3, then the probability that either A fails or B fails is

A
0.5

B
0.44

C
0.06

D
None of these
Question 13
1 / -0

If E and F are independent events such that 0 < P(E) < 1 and 0 < P (F) < 1, then

A
E and F are mutually exclusive

B
E^c and F are not independent

C
E and F^c are not independent

D
E^c and F^c are independent
Question 14
1 / -0

An unbiased dice is rolled four times. The probability that the minimum number in any roll is not less than 3 is

A

B

C

D
Question 15
1 / -0

A and B toss 3 coins. The probability that they both obtain the same number of heads is

A

B

C

D
Question 16
1 / -0

If A and B are two mutually exclusive events, then P (A + B) is equal to

A
P (A) P (B)

B
P (A) + P (B)

C
P (A) P (B' ) + P (A' ) P (B)

D
P (A) P (B' ) - P (A' ) P (B).
Question 17
1 / -0

The probability that a teacher will give an unannounced test during any class is . If a student is absent twice, then the probability that he misses atleast one test is

A

B

C

D
Question 18
1 / -0

In a single throw of two dice, the probability of getting a total of 7 or 9 is

A

B

C

D
None of these
Question 19
1 / -0

If E₁ and E₂are two independent events, then P (E₁ E₂) is equal to

A
P (E₁ E₂) + P (E₂)

B
P (E₁) + P (E₂) + P (E₁ E₂)

C
P (E₁) P (E₂)

D
None of these
Question 20
1 / -0

If E is any event associated with an experiment, then

A
P (E) 0

B
P (E) 1

C
P (E) 0

D
0 P (E) 1