Name: ______Date: ______
Probability Review
Section 1 – Theoretical and Experimental Probability
1)What is the difference between Experimental and Theoretical Probability? ______
______
2)P(Rolling a 4)
3)P(Picking a Club from a standard deck)
For # 4 and 5, a spinner like the one shown is used in a game. Determine the theoretical probability of each outcome if the spinner is equally likely to land on each section. Express each probability as a fraction and a percent.
4)P(Not Shaded)
5)P(Multiple of 5)
Section 2 – Compound Probability
6)What formula should you use for questions that contain Compound Probability?
______
7)P(Picking a Jack and Picking a Heart)
8)P(Rolling a Prime Number and Flipping a Head)
9)Define probability with replacement ______
______
10)Define probability without replacement ______
______
11)Fifteen names are placed in a hat. Ten belong to freshmen and 5 belong to sophomores. If 2 cards are drawn from the hat one at a time, what is the probability that the first will be a sophomore and the second will be a freshman?
12)What is the probability of rolling two dice, getting a number greater than five on the first roll and a multiple of two on the second roll?
13)A pizzeria offers 2 choices of crust, 5 cheese toppings, 4 veggie toppings, and 6 choices of meat. The Westwood football teams wants a to order a pizza with one cheese, one veggie, and one meat topping. What is the probability that they will choose a thin crust, mozzarella cheese, green peppers, and sausage combination?
Section 3 – Mutually Exclusive Probability
14)What makes Mutually Exclusive Probability different from Compound Probability? ______
15)What formula should you use for questions that contain Mutually Exclusive Probability? ______
16)P(Picking a Face Card or Picking a 7)
17)P(Picking a Vowel or Picking the letter B)
18)A single letter is chosen at random from the word WESTWOOD. What is the probability of picking a W or a T?
19)Each of the numbers from 1 to 40 is written on a card and placed in a bag. If one card is drawn at random, what is the probability that the number is a multiple of 5 or a multiple of 11?
Section 4 – Counting Outcomes
20)Draw a tree diagram to find the number of different outcomes that can be assembled using 3 pairs of socks and 4 pairs of sneakers.
12 outcomes
For #21 and 22, find the total number of outcomes for each situation.
21)Joan randomly dials a seven-digit phone number.
10,000,000
22)A winter sweater comes in wool or fleece, with a zipper or crew neck, and in three colors.
12 outcomes
For #23 and 24, find the probability of each event.
23)An eight-sided die is rolled and a coin is tossed. What is the probability of landing on an even number and getting heads?
24)Jen and Travis are playing a game that requires each player to roll a number cube and choose one maker from a bag without looking that contains one red, one blue, one green, and two yellow makers. The player that rolls an even number and chooses a yellow marker is the winner. What is the probability of a player rolling an even number and drawing a yellow marker without looking?
Section 5 – Permutations and Combinations
25)Give your own definition of Permutations. ______
______
26)Give your own definition of Combinations. ______
______
27)How many ways can 3 cookie batches be chosen out of 6-prize winning batches?
28)How many ways can 30 students be arranged in a 4-student line?
657, 720
29)A local restaurant specializes in simple and tasty meals.
- How many sandwiches are possible if the restaurant lets you build a sandwich by choosing any 4 of 10 sandwich ingredients?
210
- If there are 6 soups to choose from, how many soup and build-a-sandwich specials are possible?
30)In a raffle, 5 winners get to choose from 5 prizes, starting with the first name drawn. If 87 people entered the raffle, how many ways can the winners be arranged?
4,433,982,840