Home > Statistics > Conditional Probability

#P(E)=.24# and #P(F)=.3#. What is #P(E uu F)#?

Answer 1

Quinn Allen

The probability of P or F occurring is .468

The formula is:

#P(AuuB)=P(A)+P(B)-P(AnnB)#

Basically you take the probability of #E +F# minus the probability of both events happening.

In terms of #(EuuF)#:

#P(EuuF)=P(E)+P(F)-P(EnnF)#

Plug in the values:

#P(EuuF)=P(.24)+P(.3)-P(.24xx.3)#

#P(EuuF)=.24+.3-(.072)#

#P(EuuF)=.54-.072#

#P(EuuF)=.468#

By signing up, you agree to our Terms of Service and Privacy Policy

Answer 2

Emery Adams

To find the probability of the union of two events (E ∪ F), you can use the formula:

P(E ∪ F) = P(E) + P(F) - P(E ∩ F)

Given that P(E) = 0.24 and P(F) = 0.3, you need to know the probability of the intersection of E and F (P(E ∩ F)) to calculate P(E ∪ F).

Without the probability of the intersection (P(E ∩ F)), it's not possible to calculate P(E ∪ F) with the information provided. If you have the probability of the intersection (P(E ∩ F)), you can plug in the values into the formula to find the answer.

By signing up, you agree to our Terms of Service and Privacy Policy

Answer from HIX Tutor

When evaluating a one-sided limit, you need to be careful when a quantity is approaching zero since its sign is different depending on which way it is approaching zero from. Let us look at some examples.