Compound Probability

What is the probability of flipping a coin twice and landing on Tails both times?

• $\frac{1}{2}$

• $\frac{2}{2}$

• $\frac{4}{1}$

• $\frac{1}{4}$

What is the probability of picking a blue marble, putting it back in the bag, then picking a red marble?

•  $\frac{3}{7}\times\frac{3}{7}$  

•  $\frac{4}{7}\times\frac{4}{7}$  

•  $\frac{4}{7}\times\frac{3}{6}$  

•  $\frac{4}{7}\times\frac{3}{7}$  

A class has 10 girls and 15 boys. If two students are chosen at random, what is the probability that they are both girls?

• $\frac{10}{25}\times\frac{10}{25}$

• $\frac{10}{25}\times\frac{9}{25}$

• $\frac{10}{25}\times\frac{9}{24}$

• $\frac{9}{25}\times\frac{10}{24}$

You select two cards from a standard

shuffled deck of 52 cards. Both selected

cards are diamonds. (Note that 13 of the

52 cards are diamonds.)

Mathematical Equivalence

ON

A number cube is rolled twice. What is the probability of getting a 6 on the first roll, then a number less than 5 on the second roll? 

• 2/3
• 5/36
• 1/9
• 1/36

Sam is fishing in a new catch and release pond that was just stocked with 3 bluegill, 4 catfish, 7 bass, and 2 carp. He catches a fish, releases it, then catches another. What is the probability that he caught a bluegill, then a carp? 

• 1/40
• 1/8
• 3/124
• 5/16

Cesar's piggy bank has 8 quarters, 2 dimes, 4 nickels, and 6 pennies. He chooses a coin, does not replace it, then chooses another. What is the probability that he chose a dime then a nickel? 

• 1/50
• 2/95
• 1/10
• 4/19

A fruit basket contains
9 apples, 3 bananas, 7 oranges, 5 pears, and 1 grapefruit. Kyle randomly chooses a fruit, does not replace it, then chooses another. What is the probably that he chose two pears? 

• 9/49
• 4/125
• 1/10
• 1/30

A cookie jar has 3 dozen chocolate chip, 1 dozen peanut butter, and 2 dozen oatmeal raisin cookies. If Megan chooses a cookie, does not replace it, then chooses another, what is the probability that she chooses a peanut butter then a chocolate chip cookie? 

• 2/3
• 1/10
• 6/71
• 11/72

Ricardo has the spinner pictured here and a bag of marbles filled with 2 red marbles, 3 green marbles, and 3 blue marbles. What is the probability that Ricardo spins red on the spinner and picks a red marble out of the bag?

• 1 ⁄ 16
• 1 ⁄ 2
• 1 ⁄ 4
• 1 ⁄ 8