All posts related to Probability

Jeya Lakshmi

Shared from Probability Test 5 on Apr 24, 2017 2:05 PM

A policeman fires four bullets at a dacoit. The probability that the dacoit will be killed by one bullet is 0.6. What is the probability that the dacoit is still alive?

0.064

0.0256

0.32

0.16

0.24

Please type your answer before submitting.

Abhishek

(0.4)*(0.4)*(0.4)*(0.4)

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Mannu

Shared from CAT Mock Test - 16 on Mar 19, 2017 3:00 AM

During World War II, the allied forces attacked Germany. For the final assault, they had to cross a bridge. To fend off the attack, the Germans wanted to destroy the bridge, but not completely.

The Germans had 4 missiles with them and the firing conditions were as follows:

I. Probability for the first missile to hit the target was 1/3. The probabilities of subsequent missiles to hit the target were 2/3, 3/4 and 4/5, respectively.
II. Each missile had a limited destroying capability of 20%, 50%, 80% and 30%, respectively.
III. Only two missiles hit the target on firing.

What is the probability of the Germans saving at least 30% of the bridge?

1/60

1/10

1/20

1/30

Please type your answer before submitting.

Silvester

As the Germans have to save at least 30% of the bridge, they can destroy at most 70% of it. Also, as 2 missiles have to hit the target, these conditions will be only obtained in the following 2 cases:
rnCase 1: Missiles 1 and 2 hit but 3 and 4 dont
rnThe probability of this happening is 1/3 x 2/3 x 1/4 x 1/5 = 1/90
rnCase 2: Missiles 1 and 4 hit their mark and 2 and 3 dont
rnThe probability of this happening is 1/3 x 1/3 x 1/4 x 4/5 = 1/45
rnThus, the total probability = 1/90 + 1/45 = 1/30
rnHence, answer option 4 is correct.

Reply (1) (0)

Saikrishna

Shared from Probability Test 5 on Nov 21, 2016 9:16 PM

A problem in mathematics is given to three students whose chances of solving it are $\frac{1}{3}, \frac{1}{4}, \frac{1}{5}$ . What is the probability that the problem will be solved?

0.2

0.8

0.4

0.6

Please type your answer before submitting.

Saikrishna

I didnt undertstand the solution clearly.i want clear explanation

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Saikrishna

Shared from Probability Test 5 on Nov 21, 2016 9:10 PM

A box contains 100 tickets numbered 1 to 100. If 2 tickets are drawn successively without replacement from the box, what is the probability that all the tickets bear numbers divisible by 10?

0.04

0.4

0.001

0.009

Please type your answer before submitting.

Saikrishna

How 9/99 will come,i didnt understand it.

Reply (1) (0)

Rishab

Shared from CAT Mock Test - 16 on Nov 17, 2016 6:37 PM

Five balls, blue, red, pink, yellow and green are kept on different steps of a staircase of 5 steps from bottom to top, respectively. These balls are now rearranged randomly. What is the probability that the balls on the first step and second step from the top are coloured pink and yellow, respectively?

1/60

1/90

1/10

1/20

Please type your answer before submitting.

Akash

How the two balls can be arranged in 3! ways

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