Question : A person can hit a target 5 times out of 8 shots. If he fires 10 shots, what is the probability that he will hit the target twice?
Option 1: $\frac{1135 \times 3^8}{8^{10}}$
Option 2: $\frac{1165 \times 3^8}{8^{10}}$
Option 3: $\frac{1175 \times 3^8}{8^{10}}$
Option 4: $\frac{1125 \times 3^8}{8^{10}}$
Latest: SSC CGL preparation tips to crack the exam
Don't Miss: SSC CGL complete guide
Correct Answer: $\frac{1125 \times 3^8}{8^{10}}$
Solution :
Probability of hitting = $\frac{5}{8}$
Probability of losing = $\frac{3}{8}$
Probability of hitting twice when 10 shots are fired
=
10
C
2
$(\frac{5}{8})^2(\frac{3}{8})^8$
= $\frac{10×9×5×5}{1×2}$× $\frac{ 3^8}{8^{10}}$
= $\frac{1125 ×3^8}{8^{10}}$
Hence, the correct answer is $\frac{1125 ×3^8}{8^{10}}$.
Related Questions
Know More about
Staff Selection Commission Combined Grad ...
Answer Key | Eligibility | Application | Selection Process | Preparation Tips | Result | Admit Card
Get Updates Brochure
Your Staff Selection Commission Combined Graduate Level Exam brochure has been successfully mailed to your registered email id “”.
