John has three chances of throwing and hitting the target to win the prize. One hit wins John the prize. What is the probability of John not winning if any given throw has a 65% chance of hitting the target?
The probability of John hitting the target on any given throw is 65%, so the probability of him not hitting the target on any given throw is 35%.
The probability of John not winning the prize on all three throws (i.e. not hitting the target on any of the throws) is calculated by multiplying the probability of him not hitting the target on each throw:
0.35 * 0.35 * 0.35 = 0.042875
Therefore, the probability of John not winning the prize is 4.2875%.