Question

Each month a couple go to one of the two Italian restaurants on the High Street, the pizzeria or the trattoria. If they visit the pizzeria one month, the probability that they visit the pizzeria the next month is 0.6. If they visit the trattoria one month, then the probability that they visit the trattoria the next month is 0.5. In January, they go to the trattoria. Find the probability that the couple go to the pizzeria in February, given that they go to the pizzeria in April.

Name: each month a couple go to one of the two italian restaurants on the high street the pizzeria or the trattoria if they visit the pizzeria one month the probability that they visit the pizzeria the ne 2
Uploaded: 2024-01-12T03:00:12-08:00
Duration: 3 min 27 s
Channel: T. L.
Description: each month a couple go to one of the two italian restaurants on the high street the pizzeria or the trattoria if they visit the pizzeria one month the probability that they visit the pizzeria the ne 2

          Each month a couple go to one of the two Italian restaurants on the High Street, the 
pizzeria or the trattoria. If they visit the pizzeria one month, the probability that they visit 
the pizzeria the next month is 0.6. If they visit the trattoria one month, then the 
probability that they visit the trattoria the next month is 0.5. In January, they go to the 
trattoria. Find the probability that the couple go to the pizzeria in February, given that they go 
to the pizzeria in April.

Added by Jake L.

Introduction to Probability and Statistics

William Mendenhall, III, Robert J.… 15th Edition

Chapter 5

Instant Answer

Solved by Expert T. L.

01/12/2024

Step 1

The probability that they go to the pizzeria in February is therefore 0.5 (since the probability of them going to the trattoria again is 0.5, so the probability of them going to the pizzeria is 1 - 0.5 = 0.5). Now, we need to consider the probability that they go Show more…

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Each month a couple go to one of the two Italian restaurants on the High Street, the pizzeria or the trattoria. If they visit the pizzeria one month, the probability that they visit the pizzeria the next month is 0.6. If they visit the trattoria one month, then the probability that they visit the trattoria the next month is 0.5. In January, they go to the trattoria. Find the probability that the couple go to the pizzeria in February, given that they go to the pizzeria in April.