Mathmetics

ISBT Mathmetics for all banking PO,Clerk,IBPS PO,Railway,SSC,IAS,OAS Exams

Q11.
In a class, there are 15 boys and 10 girls. Three students are selected at random. The probability that 1 girl and 2 boys are selected, is:

1) 1/24 2) 21/46
3) 1/48 4) 24/117
5)None of these
Answer : 21/46
Explanation :
Let S be the sample space and E be the event of selecting 1 girl and 2 boys.

Then, n(S) = 25C3 =  Number ways of selecting 3 students out of 25

= (25 x 24 x 23) / (3 x 2 x 1) = 2300.
n(E) = (10C1 x 15C2)
= 10 x (15 x 14) /(2 x 1) = 1050.
So,  P(E) = n(E) / n(S) =1050 / 2300 =21/46 

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Q12.
Three unbiased coins are tossed. What is the probability of getting at most two heads ?
1) 1/4 2) 3/4
3) 7/8 4) 1/36
5)None of these
Answer : 7/8
Explanation :
Here S = {TTT, TTH, THT, HTT, THH, HTH, HHT, HHH}

Let E = Event of getting at most two heads.

Then E = {TTT, TTH, THT, HTT, THH, HTH, HHT}.

So, P(E) = n(E) / n(S) =7 /8 .

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Q13.
What is the probability of getting a sum 9 from two throws of a dice ?

1) 1/6 2) 1/8
3) 1/9 4) 1/12
5)None of these
Answer : 1/9
Explanation :
In two throws of a die, n(S) = (6 x 6) = 36.

Let E = event of getting a sum ={(3, 6), (4, 5), (5, 4), (6, 3)}.

So,P(E) = n(E) / n(S) = 4 /36 =1/9.

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