Probability Test

Result

Probability Test - 77

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Weekly Quiz Competition

Question 1
4 / -1

A purse contains 4 copper coins and 3 silver coins, the second purse contains 6 copper coins and 2 silver coins. If a coin is drawn out of any purse, then the probability that it is a copper coin is

A

B

C

D
None of these

Solution
Question 2
4 / -1

An unbiased die with faces marked 1, 2, 3, 4, 5 and 6 is rolled four times. Out of four values obtained the probability that the minimum face value is not less than 2 and the maximum face value is not greater than 5 is

A

B

C

D

Solution
Question 3
4 / -1

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

A
0.8750

B
0.0875

C
0.0625

D
0.0250

Solution
Question 4
4 / -1

A

B

C

D

Solution
Question 5
4 / -1

A dice is thrown (2n + 1) times. The probability of getting 1, 3, or 4 at most n times is

A

B

C

D
None of these

Solution
Question 6
4 / -1

A box contains 24 identical balls, of which 12 are white and 12 are black. The balls are drawn at random from the box one at a time with replacement. The probability that a white ball is drawn for the 4th time on the 7th draw is

A

B

C

D

Solution
Question 7
4 / -1

The chance of an event happening is the square of the chance of a second event but the odds against the first are the cube of the odds against the second. The chances of the events are

A

B

C

D
None of these

Solution
Question 8
4 / -1

A

B

C

D

Solution
Question 9
4 / -1

Let E and F be two independent events. The probability that exactly one of them occurs is 11/25 and the probability of none of them occurring is 2/25. If P(T) denotes the probability of occurrence of the event T, then

A
a and d

B
d only

C
c only

D
a only

Solution
Question 10
4 / -1

The probabilities that a student passes in Mathematics, Physics and Chemistry are m, p and x respectively. On these subjects the student has a 75% chance of passing in at least one, a 50% chance of passing in at least two and a 40% chance of passing in exactly two. Which of the following relations are true

A
b and c

B
b

C
c

D
a

Solution