Sample Space
Probability and Experiments
100
The tree diagram below shows all of the outfits Jay can choose to wear today. An outfit has one color of shirt, one color of pants and one color of shoes.
What is the total number of possible outcomes with a white shirt?
a. 9 b. 6
c. 3 d. 1
Answer: b
100
Josh put 20 tiles, numbered 1 through 20, into a bag. If Josh reaches into the bag and takes out a tile without looking, what is the probability that he will take out a tile with a number greater than 15?
Answer: 1/4 or 0.25 or 25%
200
A baseball team has 4 pitchers and 3 catchers. How many pitcher-catcher combinations does the team have?
Answer: 12
200
Suppose you perform an experiment 50 times and a friend performs the same experiment 500 times. Whose experimental probability would you expect to be closer to the theoretical probability?
I expect my friend's experimental probability to be closer to the theoretical probability. Experimental probabilities come closer to theoretical probabilities as the number of trials increase, and my friend performed many more trials than I did.
300
List all the possible two-digit numbers that can be made using each of the digits 1, 2, 3 and 4 exactly once.
Answer:
12, 13, 14, 21, 23, 24, 31, 32, 34, 41, 42, 43
300
Susan has a box that contains 4 yellow, 8 green, 10 orange, and 3 red markers. Susan randomly selects a marker from the box. What is the probability that she does not select a yellow or orange marker?
A. 0.11 B. 0.14
C. 0.44 D. 0.56
Answer: C
400
Ellen is ordering a new mountain bike. She must choose 1 option from each column in the table shown below.
How many different choices does Ellen have?
answer: 12
400
In a survey, 20 students were asked their favorite breakfast food. The table below shows the results. Use the table to answer the following questions.
What is the probability that a student likes bagels?
Answer: 1/10 , 0.10 or 10%
500
A player will spin each pointer one time while playing a game.
a. List all possible outcomes of one color and one letter. Are all combinations equally likely?
(Red, A), (Red, B), (Red, C), (Blue, A), (Blue, B) (Blue, C), (Yellow, A), (Yellow,B), (Yellow, C), (Green, A), (Green, B), (Green, C)
The sections of the spinner on the right are not of equal size. The "A" section is larger than the "B" and "C" sections, so the outcomes are not equally likely.
500
A single trial of an experiment consists of flipping a coin three times. Suppose you perform the experiment 100 times. About how many times would you expect to get HHH or TTT? Show or explain your reasoning.
25 times. The possible outcomes are{(HHH, HTH, HTT, HHT, TTT, THT, THH, TTH}.
The probability of HHH or TTT is 2/8 or 25%. 25% of 100 is 25