Sergio, Kim, Jim, Maria, Sarah, Larry, and Tyrone have all been invited to a dinner party. They arrive randomly and each person arrives at a different time.a. In how many ways can they​ arrive? b. In how many ways can Sergioarrive first andTyrone​last? c. Find the probability thatSergiowill arrive first andTyronelast

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Asked Apr 25, 2019
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Sergio, Kim, Jim, Maria, Sarah, Larry, and Tyrone have all been invited to a dinner party. They arrive randomly and each person arrives at a different time.

a. In how many ways can they​ arrive?
 
b. In how many ways can Sergio
arrive first and
Tyrone
​last?
 
c. Find the probability that
Sergio
will arrive first and
Tyrone
last
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Expert Answer

Step 1

7 members are invited in the party.

Each person arrives at different time.

There are 7 different timings.

Hence, they can arrive in,

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Step 2

b.

There are total 7 positions.

In first position Sergio and in last position Tyrone are fixed.

Remaining 5 positions are left for 5 persons.

Therefore, the 5 persons can come in the middle 5 positions in,

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Step 3

c.

For any event A and the sample space S, the p...

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Basic Probability

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