Question

The probability of a boy student getting scholarship is 0.90 and that of a girl student getting scholarship is 0.80. The probability that at least one of them will get scholarship is..........

• A. 98/100
• B. 2/100
• C. 72/100
• D. 28/100

Answer 1

Answer: (A)

98/100

Given the probability that a boy student will get the scholarship is $P\left(A\right)=0.90$

and, the probability that a girl student will get the scholarship is $P\left(B\right)=0.80$

Hence, the probability that at least one of them get the scholarship is $P\left(A\right)+P\left(B\right)-\left(P\right(A)\times P(B\left)\right)=0.9+0.8-(0.8\times 0.9)$

$=1.7-0.72=0.98=\frac{98}{100}$