Compound and Conditional Probability; Two-Way Tables

 A square in the board below and a letter in the word ATTENTION is chosen at random. Find the probability of: 

 $P\left(shaded,\ then\ a\ vowel\right)$  
Write as a fraction in simplest form.

(a)  

 A square in the board below and a letter in the word ATTENTION is chosen at random. Find the probability of: 

 $P\left(greater\ than\ 4,\ then\ T\right)$  
Write as a fraction in simplest form.

(a)  

 A square in the board below and a letter in the word ATTENTION is chosen at random. Find the probability of: 

 $P\left(unshaded\ or\ odd,\ then\ N\right)$  
Write as a fraction in simplest form.

(a)  

Tags

CCSS.HSS.CP.B.7

Aria created a password that begins with three random digits using 0-9. If the digits can repeat, what is the probability that each digit is at most 5? Give your answer as a fraction in simplest form.

(a)  

Tags

CCSS.HSS.CP.B.9

A sheet of stickers contains 15 purple, 9 red, 12 yellow and 4 green stickers. A sticker is chosen at random, placed on a paper, then another sticker is chosen. Find the probability of:

  $P\left(purple,\ then\ green\right)$  
Write as a fraction in simplest form.

(a)  

A sheet of stickers contains 15 purple, 9 red, 12 yellow and 4 green stickers. A sticker is chosen at random, placed on a paper, then another sticker is chosen. Find the probability of:

  $P\left(not\ red,\ then\ yellow\right)$  
Write as a fraction in simplest form.

(a)  

A sheet of stickers contains 15 purple, 9 red, 12 yellow and 4 green stickers. A sticker is chosen at random, placed on a paper, then another sticker is chosen. Find the probability of:

  $P\left(both\ purple\right)$  
Write as a fraction in simplest form.

(a)  

A number from 1-40 is chosen at random. Find the probability of:
 $P\left(prime\ given\ greater\ than\ 16\right)$  

Write as a fraction in simplest form.

(a)  

Tags

CCSS.HSS.CP.B.6

A number from 1-40 is chosen at random. Find the probability of:
 $P\left(even\ given\ multiple\ of\ 3\right)$  

Write as a fraction in simplest form.

(a)  

Tags

CCSS.HSS.CP.B.6

Of the 120 members of the marching band, 42 are in chorus, 78 play a sport, and 28 are both in chorus and play a sport. If a student that is a member of the marching band is chosen at random, what is the probability that they are in chorus, given that they do not play a sport? Hint: Drawing a Venn Diagram may help.

Write as a fraction in simplest form.

(a)  

Tags

CCSS.HSS.CP.B.6