Miscellaneous 1
Miscellaneous 2
Compound Probability
Counting
Two Way Frequency Tables
100

Mrs. Leeper pulled out cards from a 52-card deck one at a time, and recorded the results. What is the experiment probability that the next card she pulls is hearts?

1/4 or 25%

100

the probability that two or more events will occur

compound probability

100

A bag of marbles contains 8 red, 9 blue, 7 yellow, and 3 green. You pull out one marble.  Find P(red or yellow)

5/9 - 56%

100

A hiker has 2 pairs of hiking shoes, 3 different shirts, and 2 different pairs of shorts to choose from. How many different hiking outfits do they have?

12

100

Find the probability that a randomly chosen student is a high schooler who does not eat breakfast.

7/25 - 28%

200

events that cannot occur at the same time

mutually exclusive

200

the probability that an event will occur, given that another event has already occurred, or is assumed true

conditional probability

200

You spin this spinner once.  What is the probability that it will land on A and D?

0

200

A basketball coach will choose 5 players from a group of 8 players to represent them at a pep rally. How many different groups of players are possible?


56

200

Find P(elementary student | eats breakfast)

19/30 - 63%

300

On a winter day, there is a 32% chance that it will snow 1 inch, a 45% chance that it will snow 3 inches, and a 21% chance that it will snow 5 inches.  How many inches of snow should we expect?

2.72 inches

300

Three playing cards are randomly chosen and arranged from a set numbered from 1 to 7. What is the probability that a 1, then 2, then 3 are drawn?

1/210 - 0.5%

300

Find the probability of rolling an odd number on a die, then an even number, then a prime number.

1/8 - 13%

300

Mrs. Leeper needs to choose 3 students from a class of 20 to run some errands: one student will be going to the office, another student will be dropping something off to a teacher, and the third student will be picking up a package.  How many ways can she assign these jobs to 3 students?

6840 ways

300


Find the probability that a randomly chosen student does not have a car given that they have a license.

24/67 - 36%

400

A club of 30 students is electing a president, vice president, and secretary.  What is the probability that you and your two friends get elected to these positions? 

3/12180 - 0.02%

400

State which policy she should choose, and the difference in costs between the two.

Economy - $125 difference

400

A bag of tiles contains all the letters of the alphabet.  You take out a tile, and without putting it back, pull out another.  What is the probability of pulling out 2 vowels in a row?

(Include "y" as a vowel)

3/65 - 5%

400

You are able to choose a 4 letter or digit code for your login at a job.  Letters and digits can repeat.  How many different 4 digit/letter codes are possible?

1,679,616

400

Find P(does not have a license | does not have a car)

29/53 - 55%

500

In a game, you occasionally have the choice to gamble your money by spinning a wheel that has the following spaces: 2 $100, 5 $50, 3 $0, 3 $150, and 2 $300.  You have to "pay" $100 to spin the wheel.  What is the expected value of playing this mini game?

$0

500

At Tucson Raceway Park, your horse, Soon-to-be-Glue, has a probability of 1/19 of coming in first place, a probability of 2/19 of coming in second place, and a probability of 5/19 of coming in third place. First place pays $4,500 to the winner, second place $3,500 and third place $1,500. Is it worthwhile to enter the race if it costs $500? Support your answer.

Yes, the expected value is +$500

500

You spin the spinner once.  What is the probability that it lands on a vowel or a letter from the word BAND?

3/4 - 75%

500

A lottery drawing chooses 5 numbers from a pool of 30.  If your 5 numbers are drawn, in any order, you win a prize basket.  What is the probability that you win the basket?

1/142506 or %0.0007%

500

How many female students took chemistry?

15