John often speed while driving to school in order to arrive on time. The probability that he will speed to school is 0.75. If th
e probability that he speeds and gets stopped by a police officer is 0.25. Find the probability that he is stopped, given that he is speeding.
1 answer:
Answer:
0.33
Step-by-step explanation:
Given the following :
P(speeding) = p(s) = 0.75
P(being stopped) = p(t)
P(speeding and gets stopped) = p(s n t) = 0.25
Find the probability that he is stopped, given that he is speeding is written as P(t | s) ;
P(t | s) = p(s n t) / p(s)
P(s n t) = 0.25
P(s) = 0.75
Hence,
P(t | s) = 0.25 / 0.75
P(t | s) = 0.33
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Total ate = 1/3 + 1/4 = (4 + 3) / 12 = 7/12
Fraction the third girl got = (The whole =1) minus 7/12
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