Math 10 - Written Work # 4 (Mayapis)

Which of the following are mutually exclusive events when a card is chosen randomly from a standard deck of 52 cards?

• Choosing a 9 or a diamond

• Choosing an ace or a red card

• Choosing a king or a queen

• All of the above

Which of the following are mutually exclusive events when a fair die is rolled?

• Getting a number less than 3 or a multiple of 3

• Getting a factor of 4 or a number divisible by 2

• Getting an odd number or a factor of 3

• Getting a 2 or a prime number

All the following events are not mutually exclusive events EXCEPT:

• Drawing a jack or a heart from a standard deck of cards

• Choosing a factor of 6 or a multiple of 4 from the numbers 1-10

• Spinning a 1 or an odd number in a spinner with 4 congruent sectors

• Rolling a composite number or an even number in rolling a fair die

If P(A) = 0.25, and P(B) = 0.60, and P(A ∩ B) = 0.15 then,

• P(A ∪ B) = 0.80

• P(A ∪ B) cannot be determined

• events A and B are mutually exclusive.

• events A and B are not mutually exclusive.

Hermie rolled a fair die once. What is the probability that a 4 or a prime number will turn up?

• 1/6

• 1/3

• 1/2

• 2/3

A spinner is divided into 8 congruent sectors and numbered from 1 to 8. If it will be spun once, find the probability that it stops at a factor of 6 or a multiple of 3.

• 1/2

• 3/8

• 1/4

• 1/8

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

• 18/25

• 16/25

• 12/25

• 9/25

Let the universal set contain the first 20 natural numbers {1,2,3,…,20}. If set A contains the set of even numbers while set B contains the set of odd numbers, then what is the intersection of the two sets?

• all odd numbers from 1 to 19

• all even numbers from 2 to 20

• null set

• cannot be determined

A card is drawn from a standard deck of 52 cards. What is the probability of drawing a 3 or a face card?

• 11/3

• 2/13

• 3/13

• 4/13

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?

• 2/5

• 3/5

• 13/20

• 3/4