Compound Events Quiz

What are compound events?

• When two or more mutually exclusive events happen together

• When two or more independent events happen together

• When two or more dependent events happen together

• When two or more complementary events happen together

Answer explanation

Compound events are when two or more independent events happen together, which is the correct choice.

Tags

CCSS.HSS.CP.A.3

What is the probability that a coin will land on heads and then a coin will land on tails?

• 1/8

• 1/4

• 1/2

Answer explanation

The probability of a coin landing on heads is 1/2, and the probability of a coin landing on tails is also 1/2. Therefore, the probability of both events occurring is 1/2 * 1/2 = 1/4.

You have a bag of 17 marbles.  Four are blue, 6 are green, 2 are red, and the others are yellow.  What is the probability of drawing a red marble, putting it aside, and then drawing a green marble?

• 1/136

• 2/17

• 3/68

Answer explanation

The probability of drawing a red marble is 2/17, and the probability of drawing a green marble after putting aside the red marble is 6/16. Multiplying these probabilities gives 3/68, which is the correct answer.

You have a bag of 17 marbles.  Four are blue, 6 are green, 2 are red, and the others are yellow.  What is the probability of drawing a green marble, putting it aside, and then drawing another green marble?

• 15/136
• 30/289
• Other

You have tiles numbered 1 – 9 in a bag.  What is the probability of drawing the number 2, putting it aside, and then drawing the number 5?  

• 1/81

• 1/72

• Other

Answer explanation

The probability of drawing the number 2 is 1/9, and the probability of drawing the number 5 after putting aside the number 2 is also 1/9. Therefore, the combined probability is (1/9) * (1/9) = 1/81. So, the correct answer is Other.

You have a bag of 17 marbles.  Four are blue, 6 are green, 2 are red, and the others are yellow.  What is the probability of drawing a blue marble, replacing it, and then drawing a yellow marble?

• 20/289

• 16/289

• Other

Answer explanation

The probability of drawing a blue marble is 4/17, and the probability of drawing a yellow marble is 3/17. Multiplying these probabilities together gives 12/289, which is the probability of drawing a blue marble and then a yellow marble. Since the marbles are replaced, the probability remains the same, so the final probability is 4/17 * 3/17 = 20/289.

What is the probability of drawing the ACE of diamonds from a deck of cards, putting it back in deck, shuffling the deck, and then drawing the ACE of clubs?

• 1/269

• 1/2704

• Other 

Answer explanation

The probability of drawing the ACE of diamonds is 1/52, and the probability of drawing the ACE of clubs is also 1/52. Therefore, the probability of both events happening is (1/52) * (1/52) = 1/2704.

What is the probability of rolling a 3 on a 6-sided number cube and then NOT rolling a 3 on a 6-sided number cube?

• 5/36

• 1/6

• Other

Answer explanation

The probability of rolling a 3 on the first cube is 1/6, and the probability of not rolling a 3 on the second cube is 5/6. Multiplying these probabilities gives 5/36.

Donna has a bag of candy with 100 pieces in it.  
 ·  25 pieces of candy are caramel.
·  45 pieces of candy are chewy. ·
 The remainder of the candy is chocolate.
 What is the probability that Donna will choose a piece of candy that is chewy, and then choose a piece of candy that is chocolate?

• 3/55

• 27/200

• Other

Answer explanation

The probability of choosing a chewy candy is 45/100, and the probability of choosing a chocolate candy after that is (55/100) * (44/99) = 27/200. Therefore, the correct answer is 27/200.

A spinner is divided into 8 equal sections as shown. What is the probability that the spinner will land on a section that is NOT an even number and then land on a section that is an even number?

• 1/4

• 1/2

• Other

Answer explanation

The probability of landing on a section that is NOT an even number is 3/8, and the probability of landing on a section that is an even number is 1/4. Multiplying these probabilities gives 3/8 * 1/4 = 1/4, so the correct answer is 1/4.