Practice Questions on Probability
Aptitude Questions and Answers

Moderate Probability Question - 11

Q11.

An anti- aircraft gun can take a maximum of four shots at an enemy plane moving away from it. The probability of hitting the plane at the first, second, third and fourth shots are 0.4, 0.3, 0.2 and 0.1 respectively.

What is the probability that the plane is hit when all the four shots are fired?

A.

0.6872

B.

0.4379

C.

0.6976

D.

None of these

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Moderate Probability Question - 12

Q12.

An experiment succeeds twice as often as it fails. What is the probability that in the next 5 trials there will be four successes?

A.

$0$

B.

$\left(\frac{2}{3}\right)^4$

C.

$5\times \left(\frac{2}{3}\right)^4\times \left(\frac{1}{3}\right)$

D.

$ \left(\frac{2}{3}\right)^4\times \left(\frac{1}{3}\right)$

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Moderate Probability Question - 13

Q13.

Dinesh speaks truth in 3/4 cases and Abhishek lies in 1/5 cases. What is the percentage of cases in which both Dinesh and Abhishek contradict each other in stating a fact?

A.

60%

B.

35%

C.

20%

D.

15%

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Moderate Probability Question - 14

Q14.

When 3 fair coins are tossed together, what is the probability of getting atleast 2 tails?

A.

1/4

B.

2/3

C.

1/3

D.

1/2

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Moderate Probability Question - 15

Q15.

$x_1,x_2,x_3,x_4.......x_{50}$ are are fifty real numbers such that $x_r

The probability that the five numbers have $x_{20}$ as the middle is:

A.

$\dfrac{^{20}C_2\times ^{30}C_2}{^{50}C_5}$

B.

$\dfrac{^{19}C_2\times ^{30}C_2}{^{50}C_5}$

C.

$\dfrac{^{19}C_2\times ^{31}C_2}{^{50}C_5}$

D.

None of these

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