10-ITEM QUIZ

1. Which of the following are mutually exclusive events when a card is chosen at random from a standard deck of 52 cards?

• Choosing a 9 or a diamond                                  

• Choosing an ace card or a red card                      

• Choosing a King or a Queen

2. The following are not mutually exclusive or inclusive 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

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

• P(AUB) = 0.80                          

• P(AUB) cannot be determined

• events A and B are mutually exclusive

• events A and B are not mutually exclusive

4. Which of the following are not mutually exclusive events when a fair die is rolled once?

• a 3 or a 6                  

• a 5 or an even number

• a 2 or a factor of 6

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

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

7. 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?

8. 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?

9. If there is 40% chance that Louis will buy a tablet, 70% chance that he will buy a cellphone, and 28% chance that he will buy both gadgets, what is the probability that he will buy a tablet or a cellphone?

• 30%

• 42%

• 68%

• 82%

10. The probabilities of three students Roy, Ann and Leo winning the poster making contest are 2/7, 1/8 and 1/5, respectively. Assume that only one contestant can win the contest. What is the probability that either Ann or Leo wins?