Probability
Fundamental Counting Principal
Permutations
Dependent vs Independent
100

Use the spinner(7 equal sections) to find the probability.  P(odd number)

4/7

100

There are 26 students in Mr. Everly’s social studies class. Mr. Everly will randomly select one student as spokesperson and a second student as an alternate spokesperson for an upcoming presentation. In how many different ways can they be chosen?

650 ways

100

How many ways can 5 friends sit together at the movies in 5 seats?

120 different ways

100

There are 100 prize tickets in a bowl, numbered 1 to 100. What is the probability that an even numbered prize ticket will be chosen at random, not replaced, then an odd numbered prize ticket will be chosen? Does this represent an independent or dependent event? Explain.

25/99; dependent event; The second event is impacted by the first.

200

Use the spinner (7 equal sections) to find the probability. P(not 3)

6/7

200

Find the total number of outcomes, buying bedroom furniture if you can select one each from 8 dressers, 3 beds, 7 lamps, and 4 night tables  

672 outcomes

200

 P(4, 4)

24

200

A bag contains 4 white beads, 6 red beads, 5 yellow beads, and 5 blue beads. One bead is selected, kept, and another bead is selected. 

Find P(red, then red)

3/38

300

Use the spinner (7 equal sections) to find the probability. P(4 or 5)

2/7

300

Find the total number of outcome, tossing a dime, a quarter, a penny, and rolling a number cube

48 outcomes

300

Employees at a company are given a five-digit employee identification code. If each digit cannot be repeated, how many different codes are possible?

30,240 codes

300

A bag contains 4 white beads, 6 red beads, 5 yellow beads, and 5 blue beads. One bead is selected, kept, and another bead is selected.

Find P(blue, then yellow)

5/76

400

Farah rolled a number cube 84 times. The outcome of “2” occurred 12 times. Compare the theoretical to the experimental probability of rolling 2

Theoretical prob. 1/6 > experimental prob. 1/7

400

There are 23 students in Mrs. Sinclair’s Spanish class. Mrs. Sinclair will randomly select one student as president and a second student as vice-president. In how many different ways can they be chosen?

506 different ways

400

 P(6, 3)

120

400

A bowl contains 8 pennies, 7 nickels, and 10 dimes. Elyse removes one coin at random from the bowl and does not replace it. She then removes a second coin at random. What is the probability that both will be nickels?

7/100

500

Adrian spun a spinner with 5 equal sections 85 times. Each section of the spinner was a different color. One of the colors was blue. The outcome of “blue” occurred 20 times. Compare the theoretical to the experimental probability of spinning blue.

Theoretical prob 1/5 < experimental prob 4/17

500

tossing a dime, a quarter, a penny, a nickel, and rolling a number cube

96 outcomes

500

P(9, 5)

15,120

500

There are 26 prize tickets in a bowl, labeled A to Z. What is the probability that a prize ticket with a vowel will be chosen, not replaced, and then another prize ticket with a vowel will be chosen? Does this represent an independent or dependent event? Explain.

2/65; dependent event; The second event is impacted by the first.

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