Question

4. Do you think the probability of getting at least one airplane from two boxes is greater than 0.5? Again, explain your answer.

Answer 1

Yes the probability of getting at least one airplane from two boxes is 3/4 which is greater than 0.5.

Explanation:

The probability of getting at least one aeroplane is calculated by = 1 -(P(not aeroplane from 1st box) P (not aeroplane from 2nd box))

P(at least one aeroplane)= 1- {P(not aeroplane)P(not aeroplane)}

Suppose there is one helicopter and one aeroplane in each box so

P(at least one aeroplane)= 1- {(1/2) (1/2))}

P(at least one aeroplane)= 1- 1/4

P(at least one aeroplane)= 3/4 > 0.5

So the probability of getting at least one airplane from two boxes is 3/4 which is greater than 0.5