Probability of Mutually and Not mutually Exclusive Events

Events do not have something in common.

• Independent Events

• Dependent Events

• Mutually Exclusive Events

• Not Mutually Eclusive Events

Which of the following are not mutually exclusive events when a fair die

is rolled once?

• a 3 or a 6

• a 2 or a factor of 6

• a 5 or an even number

• a 6 or an odd number

Which of the following are mutually exclusive events when a card is

drawn at random from a standard deck of 52 cards?

• a 4 or a heart

• a 4 or a club

• a 4 or a jack

• a jack or a face card

All the following events are not mutually exclusive events EXCEPT:

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Perla plans to visit her grandmother next week. If she chooses a day of the week at random, what is the probability that she will choose Monday or Thursday?

(Take Note: There are 7 days a week.)

• 1/7

• 2/7

• 1/5

• 2/5

A spinner is divided into 8 equal parts. If it will be spun once, find the probability of spinning a factor of 6 or a multiple of 3.

• 1/2

• 1/4

• 1/8

• 3/8

The numbers 1–25 are written on slips of paper, put in a box, and mixed thoroughly. If a slip of paper is picked, what is the probability that the number in it is even or a multiple of 4?

• 12/25

• 18/25

• 9/25

• 16/25

A bag contains 8 black pens, 7 red pens, and 5 blue pens. Kyra draws one pen at random. What is the probability that the pen is either red or blue?

 

• 3/5

• 13/20

• 3/4

• 2/5

Twenty-six tiles, each with a letter of the English alphabet, are placed in a bag, and one tile is drawn at random. What is the probability of selecting a vowel or a letter from the word humble?

Take Note:

Vowels (a, e, I, o, u)    there are 5 vowel  letters

Word humble (h, u, m, b, l, e) there are 6 letters in the word humble

Common letters (u, e) There 2 letters that are vowel found in the word humble

• 5/13

• 4/13

• 9/26

• 5/26

Hermie rolled a fair die. What is the probability that a 4 or a prime number will come out?

Take Note: Prime numbers are natural numbers that are divisible by only 1 and the number itself.

• 2/3

• 1/3

• 1/6

• 1/2