Probability of both Lucy and Zaki hitting the target = 1/4
When Zaki or Lucy throw a ball at the target there are only two outcomes for each of them ( i.e Hit or miss )
Therefore :
The probability of Lucy hitting the target = 1/2
The probability of Zak hitting the target = 1/2
Analysis
Probability of both Lucy and Zaki hitting the target
P(Lucy ) + P(Zaki ) = 1/2 + 1/2 = 1/4
Hence we can conclude that Probability of both Lucy and Zaki hitting the target = 1/4
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