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 60% chance of hitting the target?
The probability of John not hitting the target on any given throw is 1 - 0.6 = 0.4.
Since John has three chances to hit the target, the probability of him not hitting the target on any of the three throws is:
0.4 x 0.4 x 0.4 = 0.064
Therefore, the probability of John not winning the prize is 0.064 or 6.4%.