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Answer:
a) Probability that Julia misses two shots in a row =
b) We can use the complement rule on this case. Let X the number of shoots successful, we want this probability:
And using the complement rule we have this:
And P(X=0) correspond to the probability that Julia misses two shots in a row founded on part A so then we have:
Step-by-step explanation:
Part a
For this case we know that Julia enjoys shooting paper balls into the basket across her office.
She misses the first shot 50% of the time.
Probability that Julia misses the first shot =
When she misses on the first shot, she misses the second shot 20% of the time.
Probability that Julia misses the second shot =
For this case we need to find the probability of missing two shots in a row
So we can multiple the two probabilities like this
Probability that Julia misses two shots in a row =
Part b
For this case we want probability of making at least one successful throw
And we can use the complement rule on this case. Let X the number of shoots successful, we want this probability:
And using the complement rule we have this:
And P(X=0) correspond to the probability that Julia misses two shots in a row founded on part A so then we have: