You$$re a civil engineer checking reinforcing rebars for constructing a reinforced concrete building.

The length, diameter, and yield strength of rebars are classified as being either within or outside

specified tolerance limits$.$ In a quality inspection, $86\%$ of the rebars are found to be within the

specified tolerance limits for diameter, but only $80\%$ of rebars are within specified limits for all

three dimensions. Further, $2\%$ of the rebars are within the limits for diameter and length but not

for yield strength, and $3\%$ of rebars are within limits for diameter and yield strength but not

length. Also, $92\%$ of rebars are within limits for either diameter or yield strength or both. If a

rebar is within the specified tolerance limits for yield strength, what is the probability that it will

also be within the specified limits for diameter?

Approach: $2$pt

Computation: $2$pt

Numerical result: $1$pt