Dependent Probability Practice

A bag contains 18 jerseys, 9 white and 9 red. Find the probability that you would randomly choose a white jersey, not put it back, and then choose a red jersey

• $\frac{9}{18}\times\frac{8}{17}$

• $\frac{9}{18}\times\frac{9}{17}$

• $\frac{9}{18}\times\frac{9}{18}$

• $\frac{9}{18}\times\frac{8}{18}$

Tags

CCSS.HSS.CP.A.1

CCSS.HSS.CP.A.3

CCSS.HSS.CP.B.6

CCSS.HSS.CP.B.8

A fruit basket contains 3 bananas, 4 oranges, and 5 apples. You randomly choose and eat three pieces of fruit. Find the probability that you would have a banana, then an apple, then another banana.

• $\frac{3}{12}\times\frac{2}{12}\times\frac{1}{12}$

• $\frac{3}{12}\times\frac{5}{11}\times\frac{2}{10}$

• $\frac{3}{12}\times\frac{5}{12}\times\frac{3}{12}$

• $\frac{3}{12}\times\frac{5}{11}\times\frac{3}{10}$

Tags

CCSS.HSS.CP.A.3

CCSS.HSS.CP.B.8

There are 10 blue socks and 12 brown socks in a drawer. Find the probability of reaching in and getting two blue socks without looking.

• $\frac{10}{22}\times\frac{10}{21}$

• $\frac{10}{22}\times\frac{9}{21}$

• $\frac{10}{22}\times\frac{10}{22}$

• $\frac{10}{22}\times\frac{12}{21}$

Tags

CCSS.HSS.CP.B.8

CCSS.HSS.CP.B.9

Team A, Team B, Team C, Team D, and Team E are all competing in a relay race. Starting positions are chosen at random. Find the probability that Team B will start in the 1st position and Team E will start in the 2nd position.

• $\frac{1}{5}\times\frac{1}{5}$

• $\frac{2}{5}\times\frac{1}{5}$

• $\frac{1}{5}\times\frac{1}{4}$

• $\frac{1}{5}\times\frac{2}{4}$

Tags

CCSS.HSS.CP.A.1

CCSS.HSS.CP.A.2

CCSS.HSS.CP.B.8

CCSS.HSS.CP.B.9

There are 2 blue, 6 green, 5 yellow, 7 purple and 3 blue marbles in a bag. You randomly draw two marbles from the bag without replacing the first one. Find the probability of getting a green marble and then a yellow marble.

• $\frac{11}{23}\times\frac{10}{22}$

• $\frac{11}{23}\times\frac{10}{23}$

• $\frac{6}{23}\times\frac{5}{23}$

• $\frac{6}{23}\times\frac{5}{22}$

Tags

CCSS.HSS.CP.B.8

CCSS.HSS.CP.B.9

Find each probability of picking a V, then a K, if you pick a card, do not replace it, and then pick a second card.

• $\frac{1}{64}$

• $\frac{1}{32}$

• $\frac{1}{56}$

• $\frac{1}{16}$

Tags

CCSS.HSS.CP.A.1

CCSS.HSS.CP.A.3

CCSS.HSS.CP.B.6

CCSS.HSS.CP.B.8

CCSS.HSS.CP.B.9

Find each probability of picking a R, then another R, if you pick a card, do not replace it, and then pick a second card.

•  $\frac{1}{28}$  
  

•  $\frac{1}{32}$  
  

•  $\frac{1}{16}$  
  

•  $\frac{11}{28}$  
  

Tags

CCSS.HSS.CP.A.1

CCSS.HSS.CP.A.3

CCSS.HSS.CP.B.6

CCSS.HSS.CP.B.8

CCSS.HSS.CP.B.9

Find the probability of picking a yellow, and then not a yellow, if you pick two marbles without replacing the first.

• $\frac{5}{27}$

• $\frac{5}{24}$

• $\frac{1}{12}$

• $\frac{2}{9}$

Tags

CCSS.HSS.CP.A.1

CCSS.HSS.CP.A.3

CCSS.HSS.CP.B.6

CCSS.HSS.CP.B.8

Find the probability of picking a green and then another green, if you pick two marbles without replacing the first.

•  $\frac{4}{27}$  
  

•  $\frac{16}{81}$  
  

•  $\frac{2}{9}$  
  

•  $\frac{1}{6}$  
  

Tags

CCSS.HSS.CP.A.1

CCSS.HSS.CP.A.3

CCSS.HSS.CP.B.6

CCSS.HSS.CP.B.8

CCSS.HSS.CP.B.9

Carrie has four different cheerleading tops: a purple tank, a purple sweater, a gold tank, and a gold sweater. What is the probability of Carrie randomly selecting a gold top on Monday, then randomly selecting a purple top on Tuesday, if she doesn't wear the same thing two days in a row?

• $\frac{1}{4}$

• $\frac{1}{3}$

• $\frac{1}{2}$

• $\frac{4}{7}$

Tags

CCSS.HSS.CP.A.1

CCSS.HSS.CP.A.3

CCSS.HSS.CP.B.6

CCSS.HSS.CP.B.8