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On any day, the probability that a boy eats his prepared lunch is 0:5 . the probability that his sister eats her lunch is 0:6 . the probability that the girl eats her lunch given that the boy eats his is 0:9 . determine the probability that:

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danielrodgers1p7iiq8
y it is right. Apparently the answer to a) is 920
9
20
because since the boy ate his lunch, the girls probability of eating is 0.9 and if you multiply the two probabilities you get 920
9
20
. However this does not seem to take into account the possibility that the girl ate her lunch first, in which case the probability of both eating is 310
3
10
.

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