Answer:
(1) 0.125
(2) 0.125
Step-by-step explanation:
The total number of possible outcomes is:
N = 8
(1)
Compute the probability that the number picked is between 3 and 5 as follows:
Number of Favorable outcomes = 1
The probability is:
P (Number picked is between 3 and 5) = 1/8 = 0.125
Thus, the probability that the number picked is between 3 and 5 is 0.125.
(2)
The number usually picked appears to be in in the range [3,5], i.e. the numbers could be, {3, 4 or 5}.
Number of Favorable outcomes = n (Number < 4 and within [3, 5]) = 1
P (less than 4 ∩ within [3, 5]) = 1/8 = 0.125
Thus, the probability that the number picked is less than 4 knowing that the number usually picked appears to be in in the range [3,5] is 0.125.
