Robert has eight guests, two of whom are Jim and John. If

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QUESTION:

Robert has eight guests, two of whom are Jim and John. If the guests will arrive in a random order, what is the probability that John will not arrive right after Jim?

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QUESTION:

Robert has eight guests, two of whom are Jim and John. If the guests will arrive in a random order, what is the probability that John will not arrive right after Jim?

ANSWER:

Step 1 of 2

Robert's total number of guests is 8, 2 guests are Jim and John from a total of 8 guests.

Then, the number of guests except Jim and John = 8 – 2 = 6!

If Jim arrives first, then the number of ways that other guests arrive is given by:

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