Question

A student at DUAA has 40% chance of being selected to be nominated forthe Posse scholarship. Once a student is nominated, that student has 70%chance of being chosen to interview for the scholarship. What is theprobability that a student is nominated for the Posse AND chosen tointerview?

Answer 1

He have to calculate the Probability of Two Consecutive Events Occurring Together:

We know that:

Probability of event 1 - P1 (being nominated): 40% or 40/100 = 4/10

Probability of event 2 - P2 (being chosen): 70% or 70/100 = 7/10

To calcule the Probability of Two Consecutive Events Occurring Together:

`P1\cdot P2=(4)/(10)\cdot(7)/(10)=(28)/(100)=0.28`

The probability that a student is nominated for the Posse AND chosen to interview is 28%.