Answer:
1/10 or 0.1
Step-by-step explanation:
Probability of occurrence of any event = number of favorable event by total /number of occurrence of event.
For Sarah
Given Number of frames = 18
Number of strikes made by her = 5
Therefore by using the above formula to get the probability of striking by Sarah will be 5/18.
__________________________________________________
For David
Given Number of frames = 25
Number of strikes made by him = 9
Therefore by using the above formula to get the probability of striking by David will be 9/25.
__________________________________________________
Since the event of Sarah and David are mutually independent i.e occurrence of one event does not impact the occurrence of other event.
Probability of occurrence of two mutually independent A and B event with Probability P(A) and Probability P(B) is given by P(A) * P(B).
Therefore probability that they both get a strike on their next frame are mutually independent event with probability 5/18 and 9/25 will be calculated by 5/18 * 9/25 = 1/(2*5) = 1/10.
