An athlete has 75% of winning the race if he is not injured. If he is injured, his probability of winning the race is only 15%.
If the total chances of winning is 51%, what is the probability that he gets injured?
1 answer:
Answer:
X = 'is the athlete injured' (X in {0,1})
Y = 'the athlete wins' (Y in {0,1})
P(Y=1|X=0) = 0.75
P(Y=1|X=1) = 0.15
P(Y=1) = 0.51
We are looking for P(X=1) - P(Y=1) = P(Y=1|X=0)*(1-P(X=1)) + P(Y=1|X=1)*P(X=1)
The above equation should provide you with the answer 0.4!
Step-by-step explanation:
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