The probability that the results indicate a successful market for the product and the product is actually not successful is P=0.77.
<h3>What is the probability?</h3>
Probability refers to a possibility that deals with the occurrence of random events.
Events are given:
S: success
F: failure
MS: market research forecast a success
MF: market research forecast a failure
we have given:
P(S)=0.70
P(F)=0.30
P(S | MS)=0.90
P(F | MS)=0.20
we can derive that P(F | MF)=0.80.
We also can conclude that P(S | MF)=0.10.
We can calculate the probability of having a forecast of a failure,
![P(MF | F) =\dfrac{ P(F | MF)P(F)}{ P(F | MF)P(F) + P(S | MS)P(S) }](https://tex.z-dn.net/?f=P%28MF%20%7C%20F%29%20%3D%5Cdfrac%7B%20P%28F%20%7C%20MF%29P%28F%29%7D%7B%20P%28F%20%7C%20MF%29P%28F%29%20%2B%20P%28S%20%7C%20MS%29P%28S%29%20%7D)
P (MF | F) = 0.24 / 0.31
P (MF | F) = 0.77
The probability that the results indicate a successful market for the product and the product is actually not successful is P=0.77.
Learn more about probability here;
brainly.com/question/11234923
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