Question

A tile is selected at random from 6 tiles. Each tile is labeled with a different letter from the first letters of the alphabet.

The possible outcomes are listed below.
Note that each outcome has the same probability.

Complete parts (a) through (c). Write the probabilities as fractions.

(a) Check the outcomes for each event below. Then, enter the probability of the event.
(b) Compute the following:
P(X) +P(Y) - P(X and Y) =
(c) Select the answer that makes the equation true.
P(X) +P(Y) -P(X and Y)=

(chart is attached as well as options for choosing the answer to c:

Answer 1

Part a

Event X: Outcomes are D and E, probability 1/3

Event Y: Outcomes are B, C, D, and F, probability 2/3

Event X or Y: Outcomes are B, C, D, E, F, probability 5/6

Event X and Y: Outcome is D, probability 1/6

Part b

`(1)/(3)+(2)/(3)-(1)/(6)=(5)/(6)`

Part c

P(X or Y)