Need help please on Pre Calculus!!! Directions: verify each identity
1 answer:
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Answer:
Required Probability = 0.625
Step-by-step explanation:
Given,
Probability of unlocked doors, P(U) = 0.25
Probability of locked doors, P(U') = 0.75
Probability of something being stolen when door is unlocked, P(S/U) = 0.05
Probability of something not being stolen when door is unlocked, P(S'/U) = 0.95
Probability of something being stolen when door is locked, P(S/U') = 0.01
Probability of something not being stolen when door is locked, P(S'/U') = 0.99\
probability of being stolen either door is locked or not,
P(S) =P(S/U).P(U) + P(S\U').P(U')
= 0.05 x 0.25 + 0.95 x 0.75
= 0.0125 + 0.0075
= 0.02
Probability that door was unlocked when while steeling can by given by
= 0.625
hence, the required probability is 0.625.
Hope it helps