C. What is the probability that Muddy chooses Door One OR Door Two given that Mu

Question

C. What is the probability that Muddy chooses Door One OR Door Two given that Muddy is caught by Alissa?
My answer is matching the teacher’s. Please instruct on which values to add. Thought I understood but obviously not. Thanks in advance. Pad 12:41 PM section 3.4 filled in.pdf Example 3.22 Muddy Mouse lives in a cage with three doors. If Muddy goes out the first door, the probability that he gets caught by Alissa the cat is and the probability he is not caught isf he goes out the second door, the probability he gets caught by Alissa isand the probability he is not caughh isThe probability that Alissa catches Muddy coming out of the third door is and the probability she does not catch Muddy is . It is equally likely that Muddy will choose any of the three doors so the probability of choosing each door bs Caught or Not Door OneDoor Two Door Three Total Not Caught Total Table 3.7 Door Choice The first entry (H) is PlDoor One AND Caught) The entry i,-ex) is P(Door One AND Not Caught) Verify the remaining entries. a. Complete the probability contingency table. Calculate the entries for the totals. Verify that the lower-right cormer entry is 1. Solution 3.22 Caught or Not Door One Door Twe Door Three Total 19 60 Not Caught 60 Total Table 3.8 Door Choike b. What is the probability that Alissa does not catch Muddy? Solution 3.22 c. What is the probability that Muddy chooses Door One OR Door Two given that Muddy is caught by Alissa? DashboardCalendarTo Do Notifications Inbox

Explanation / Answer

So,

P(muddy chooses 1 or 2 door | he'caught) = ?

This will be equal to P(Caught and door 1) + P(Caught and door 2) / P(Caught)

= ((1/15)+(1/12))/((1/15)+(1/12)+(1/6))

= .474

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