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eLitmus Probability questions for eLitmus exam | eLitmus Questions for pH Test

11

In a chimp zoo there are 1 billion monkeys. The probability that a monkey in the zoo has seen a banyan tree is 0.6. The probability that a monkey has seen a mango tree is 0.65. What is the minimum percentage of monkeys in the zoo who have seen both the tree ?

A.

25%

B.

39%

C.

40%

D.

60%

See Answer & Explanation Lets Discuss
Correct answer is : B
Explanation

For two independent events P(A and B) = P(A)*P(B)

=> P(monkey has seen a banyan tree and monkey has seen a mango tree) = P(monkey has seen a banyan tree) * P(monkey has seen a mango tree)

 

=> P(monkey has seen a banyan tree and monkey has seen a mango tree) = 0.6 * 0.65  = 0.39

 

So the percentage of monkeys who has seen both banyan tree and mango tree = 39%

 
12

What is the probability of forming a triangle from a 4x4 Matrix?

A.

127/140

B.

129/140

C.

131/140

D.

123/140

See Answer & Explanation Lets Discuss
Correct answer is : B
Explanation

 
13

Two friends have decided to meet between 3 and 4 o clock and they have decided to wait for 15 mins to meet (for eg A have reached by 3 he will wait for 15 mins for B similarly B also ) then what is the probability of both are meeting?

A.

5/16

B.

7/16

C.

9/16

D.

3/16

See Answer & Explanation Lets Discuss
Correct answer is : B
Explanation

No explanation available. Let's Discuss

 
14

Ram draws a card randomly among cards numbered 1-23 and keep it back.Then sam draws a card among those then what is the probality that Sam has drawn a card greater than Ram.

A.

84/142

B.

84/143

C.

84/144

D.

84/145

See Answer & Explanation Lets Discuss
Correct answer is : B
Explanation

If ram draws 1 then Sam has 22 choices. If ram draws 2 then Sam has 21 choices and so on..

So, the probality that Sam has drawn a card greater than Ram is 

=> 1/23*22/23 + 1/23*21/23 + 1/23*20/23 + .... + 1/23*1/23

=> 1/23*[(22+21+...+10)/23]

=> 1/23*{22/2*[1+22]}/23

 

=> 252/529 or 84/143

 
15

If a 4 digit no.is randomly chosen,then what is the probability(approximately) that it is a perfect square?

A.

0.006

B.

0.007

C.

0.06

D.

0.0076

See Answer & Explanation Lets Discuss
Correct answer is : D
Explanation

Total 4-digit no's that are possible, 10000-1000 = 9000
Perfect squares of 4-digit no. starts from 1024 which is the square of 32 and ends in 9801 which is the square of 99...
So No. of 4-digit numbers which are perfect squares are 99-31 = 68
Prob. will be = 68/9000 = 0.00755 = 0.0076

 
 

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