Question

Leitzel is going to Debra's Steakhouse and really wants filet for dinner and creme brulee for dessert. She knows that the probability of getting a filet at Debra's is .9 and the probability of creme brulee being a desert is .77. She determines that the probability of getting a filet and creme brulee is .9(.77) = 0.693. Which statement about the two events is true?

Answer 1

These two events would be independent.  

We can tell this from the fact that the probabilities are simply multiplied together; this only works if the two events are independent.

Answer 2

Answer with explanation:

Probability of getting a filet at Debra's =0 .9

Probability of getting creme Brulee being a desert is=0 .77

Probability of getting both that is getting a filet and creme brulee

=(0.9)*(0.77)

  = 0.693

If two events are independent ,then

→P(A∩B)=P(A) × P(B)

So, P(F ∩ C)=P(F) × P(C)

       =0.9 × 0.77

        =0.693

Showing both are independent of one another,that is getting a filet(F) and creme Brulee(C).

Independent events.