Question 18

Challenge question #18 (04/07/2016)

Junior Question

Two marksmen, $A$ and $B$, simultaneously fire at a target.
$A$ is twice as likely to hit the target as $B$, and the probability that the target will be hit is $\frac{1}{2}$.
Find the probability that $A$ will hit the target.

Answer

The probability that $A$ will hit the target is $\frac{3-\sqrt{5}}{2}\approx0.382$ .

Worked Solution

Senior Question

Answer

The ladder reaches either $3$ m or $6$ m up the wall.

Worked Solution