Three married couples have purchased theater tickets and are seated in a row consisting of just six seats. If they take their seats in a completely random fashion (random order), what is the probability that Jim and Paula (husband and wife) sit in the two seats on the far left?

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Answer:

The required probability is : [tex]\frac{1}{15}[/tex]

Step-by-step explanation:

Three married couples have purchased theater tickets and are seated in a row consisting of just six seats.

First we will check the total arrangements that is 6! ways.

6! = [tex]6\times5\times4\times3\times2\times1=720[/tex]

Jim and Paula can sit at far left in 2 ways and the remaining 4 in 4! ways,.

So, probability will be = [tex]2\times\frac{4!}{6!}[/tex]

= [tex]2\times\frac{24}{720}[/tex]

= [tex]\frac{48}{720}[/tex]

= [tex]\frac{1}{15}[/tex]