E and F are two events and that P(E)=0.3 and P(F|E)=0.5. Thus, P(E and F)=0.15
Bayes' theorem is transforming preceding probabilities into succeeding probabilities. It is based on the principle of conditional probability. Conditional probability is the possibility that an event will occur because it is dependent on another event.
P(F|E)=P(E and F)÷P(E)
It is given that P(E)=0.3,P(F|E)=0.5
Using Bayes' formula,
P(F|E)=P(E and F)÷P(E)
Rearranging the formula,
⇒P(E and F)=P(F|E)×P(E)
Substituting the given values in the formula, we get
⇒P(E and F)=0.5×0.3
⇒P(E and F)=0.15
∴The correct answer is 0.15.
If, E and F are two events and that P(E)=0.3 and P(F|E)=0.5. Thus, P(E and F)=0.15.
Learn more about Bayes' theorem on
brainly.com/question/17010130
#SPJ1
Answer: $102 per month
Step-by-step explanation:
15% off $120 means $120-(.15*$120) which is 120-18=$102. The .15 is the 15%, and 15% of 120 would be the whole multiplication.
Answer:
24 is the total number of students in Miss. Perrons class.
Step-by-step explanation:
you take 18 and divide by 75% (0.75) and you get 24
