Statistics on a number line

Question

There is a line with 48 equidistant points (like a number line). Four points are labeled:

A=0, B=6, C=21, D=30, E=48

If a point is placed at random on AE, find each probability as a fraction.

1) P(on AC)

2) P(not on BD)

Answer 1

Hello Kate,

1. P(on AC) = (Length of AC) ÷ (Length of AE) = 21 ÷ 48 = 0.4375
2. P(not on BD) = 1 - P(on BD) = 1 - (Length of BD) ÷ (Length of AE) = 1 - 24÷48 = 0.5