The probability that a girl student gets scholarship is 0.4 and that of a boy is 0.6, then probabili

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29 May 2019 Probability

The probability that a girl student gets scholarship is 0.4 and that of a boy is 0.6, then probability that at least one gets the
scholarship is:

OPtion

1) 0.26
2) 0.30
3) 0.66
4) 0.24
5) 0.72
6) 0.74
7) 0.75
8) 0.76
9) 0.70
10) None of these

Solution

Probability that girl student gets scholarship is = 0.4
Probability that boys student gets scholarship is = 0.6
Hence, Probability that girl don't get scholarship = 1-0.4 = 0.6
Probability that boy don't get scholarship = 1-0.6 = 0.4

probability that at-least one gets scholarship is = 1- (no one selected)
1 -(0.6*0.4) = 0.76

Correct Option: 8 Best Solution (2)

Devendra Marghade   5 years AGO

Probability that both doesn't get scholarship=(1-0.4)*(1-0.6)=0.6*0.4=0.24
Therefore, probability that at least one get scholarship=1-0.24=0.76
Option 8)

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Vaishali Jain   5 years AGO

1 - probability of no one getting the scholarship
1 - 0.4*0.6
0.76

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