Question

probability | quizizz17. what is sample space?a) a single outcome or group of outcomesb) a list of all possible outcomes of an eventc) a possible result of an actiond) a process with an uncertain result18. draw a tree diagram on a separate sheet of paper. then answer this question. a girls choir is choosing a uniform for their concert. they can pick red, green, or purple sweaters, and they can pick tan, white, or black skirts. the shoes they need come in gold and black. assuming all the colors go together, how many different combinations can the choir pick?a) 3 combinationsb) 12 combinationsc) 8 combinationsd) 18 combinations19. what is the probability of rolling an even number on a die?a) likelyb) equally likelyc) unlikelyd) impossible

Explanation:

Step1: Define sample space

A sample space is the set of all possible outcomes of a random experiment or event.

Step2: Calculate uniform combinations

Multiply the number of choices for each item:
Number of sweater options = 3, skirt options = 3, shoe options = 2.
Total combinations = $3 \times 3 \times 2$

Step3: Determine die probability

A standard die has 6 outcomes: {1,2,3,4,5,6}. Even numbers are {2,4,6} (3 outcomes). Probability = $\frac{3}{6} = \frac{1}{2}$, meaning even and odd outcomes are equally likely.

Answer:

1. b) a list of all possible outcomes of an event
2. d) 18 combinations
3. b) equally likely