The letters in the word STATISTICS are printed on identical index cards with one letter per card. The ten cards are then placed in a hat, and one card is randomly chosen (without looking) from the hat. The random process we are
interested in is what letter is on the selected card.
(a) Make a table that shows the set of outcomes and the probability of each outcome.
Outcome
Probability
(b) Consider the following events:
V: the letter chosen is a vowel.
F: the letter chosen falls in the first half of the alphabet (that is, between A and M).
Determine the following probabilities:
P(V) =
P(F) =
P(FC
) =
P(V and F) =
P(V or F) =
(c) Are the events V and F mutually exclusive (disjoint)? Explain.