Question

OUTCOME 4: There is a 70% Chance that a student will pass a statistics course if I randomly choose a group of five students find the probability that exactly two will pass the course and explain how you derived your solutions

Answer 1

Answer:

The required probability is $\frac{1323}{10000}$

Step-by-step explanation:

It is given that The chance, that a student will pass the statistic course is $\frac{70}{100}$

Hence, The chance that a student will fail in the statistic course is $\frac{100 - 30}{100} = \frac{30}{100}$

Any 2 students from the total of 5 students can be choosen in $^{5}C_2 = \frac{5!}{3! \times2!} = 10$ ways.

Hence, the probability will be $10\times [\frac{70}{100}] ^{2} \times[\frac{30}{100} ]^{3} = \frac{49\times27}{10000} = \frac{1323}{10000}$