Question

Pls hellppp

Jennifer wants to visit 4 different cities A,B,C and D on her vacation. If she will visit them one at a time, and completly random, what is thr probabitly that she will visit them in the exact order ABCD or DCBA?​

Answer 1

Answer: The probability that she will visit them in the exact order ABCD or DCBA =
`(1)/(12)`

Explanation:

Given: Jennifer wants to visit 4 different cities A,B,C and D on her vacation.

If she visits in an order , total such orders will be
`4!` = 4 x 2 x 3 x 1 =24.

Since probability =
`\frac{\text{Favourable outcomes}}{\text{total outcomes}}`

In this case favorable outcomes ( ABCD , DCBA)= 2

Total outcomes = 24

Required probability =
`(2)/(24)=(1)/(12)`

Hence, the probability that she will visit them in the exact order ABCD or DCBA =
`(1)/(12)`