MUTUALLY EXCLUSIVE & NOT MUTUALLY EXCLUSIVE EVENTS

getting a head and getting a tail in flipping a coin

• MUTUALLY EXCLUSIVE EVENTS

• NOT MUTUALLY EXCLUSIVE EVENTS

Answer explanation

Getting a head and getting a tail in flipping a coin cannot happen at the same time.

drawing a queen and drawing a 10 from a standard deck of cards

• MUTUALLY EXCLUSIVE EVENTS

• NOT MUTUALLY EXCLUSIVE EVENTS

Answer explanation

It is impossible to obtain a card that is both a queen and a 10 at the same time.

drawing a blue candy and drawing a red candy from a bag with red, blue, and yellow candies

• MUTUALLY EXCLUSIVE EVENTS

• NOT MUTUALLY EXCLUSIVE EVENTS

Answer explanation

Drawing a candy that is both blue and red cannot happen.

getting a multiple of 4 and getting a number divisible by 2 from numbers 1 to 20

• MUTUALLY EXCLUSIVE EVENTS

• NOT MUTUALLY EXCLUSIVE EVENTS

Answer explanation

There are numbers that are multiples of 4 and divisible by 2 at the same time, such as 4, 8, 12, 16, and 20.

picking a student who wears glasses and picking a girl

• MUTUALLY EXCLUSIVE EVENTS

• NOT MUTUALLY EXCLUSIVE EVENTS

Answer explanation

It is possible to pick a girl who wears a glass at the same time.

You roll a fair six-sided die. Find the probability that the die shows an odd number or a number greater than two.

• 3/6

• 1/2

• 2/6

• 5/6

Answer explanation

NOT MUTUALLY EXCLUSIVE EVENT

odd numbers: 1,3,5

P(odd) = 3/6

greater than two: 3,4,5,6

P(greater than two) = 4/6

common: 3 and 5 = 2/6

3/6 + 4/6 - 2/6 = 5/6

A wooden box contains a variety of colored beads. Picking a blue bead, yellow bead, or red bead has a probability of 0.3, 0.4, and 0.3, respectively. What are your chances of getting a blue or red bead?.

• 0.6

• 0.1

• 0.7

• 0.3

Answer explanation

MUTUALLY EXCLUSIVE EVENT

P(blue bead) = 0.3

P(red bead) = 0.3

0.3+0.3 = 0.6

5 red sweets, 7 green sweets, and 8 blue sweets are contained in a plastic bag. What is the probability that a sweet will be green or blue if it is randomly chosen from the bag?

• 1/4

• 3/4

• 1/2

• 2/3