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Suppose, 10 students have been selected for the prestigious Sir Abed Scholarship for
their excellent performances in extracurricular activities and academic results. Let’s say,
there are 4 types of award: A (100% +), B (100%), C (97%) and D (95%) . Also, a
student has an equal chance of getting any of these 4 scholarships. What is the
probability that exactly 4 of the 10 students get A and 3 students get C?

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Answer:

0.1459, 0.2503

Step-by-step explanation:

Probability of getting exactly 4 A out of 10,  

P(X==4) = 10C4 (1/4)^4 (3/4)^6

=0.1459

Probability of getting exactly 3 C out of 10,  

P(X==3) = 10C3 (1/4)^3 (3/4)^9

=0.2503

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