Answer:
P(Jim, Bruce, Valerie, Simeon) ≈ 0.000003
Explanation:
To find the probability of Jim, Bruce, Valerie, and Simeon being selected in that order, we need to calculate the probability of each individual being selected, considering that the choices are made without replacement.
The probability of Jim being selected first is 1/33, since there are 33 members total and we are selecting one at a time.
The probability of Bruce being selected second is 1/32, as there are 32 members remaining after Jim has been selected.
The probability of Valerie being selected third is 1/31, since there are 31 members remaining after Jim and Bruce have been selected.
The probability of Simeon being selected fourth is 1/30, as there are 30 members remaining after Jim, Bruce, and Valerie have been selected.
To calculate the overall probability, we multiply these individual probabilities:
P(Jim, Bruce, Valerie, Simeon) = (1/33) * (1/32) * (1/31) * (1/30)
Rounding this value to the sixth decimal place, we get:
P(Jim, Bruce, Valerie, Simeon) ≈ 0.000003