Question

Maria is to select one number from the set {60,61,62,63,64,65,66,67,68,69} at random. ​

​Consider the following three events.
​ ​Event X: The selected number is an even number.
Event Y: he selected number is a multiple of 3.
Event Z: The selected number is a multiple of 5.
Part A: List the outcomes that are in event X or in event Y but not in both events. ​
​Part B: List the outcomes that are in both events X and Y but not in Z.


DROP BOX the numbers in 2 categories PART A or PART B

Answer 1

(a){62,63,64,68,69}

(b){66}

Explanation:

Given the set: {60,61,62,63,64,65,66,67,68,69}

Event X: x={60,62,64,66,68}

Event Y: y is a multiple of 3={60,63,66,69}

Event Z: z is a multiple of 5={60,65}

Part A

Outcomes that are in event X or in event Y but not in both events. ​

={62,63,64,68,69}

Part B

Outcomes that are in both events X and Y={60,66}

Therefore, Outcomes that are in both events X and Y but not in Z={66}