Understand Likelihood
If a spinner is broken into 4 equal parts with colors; blue, red, yellow and green. What is the probability of the pointer landing on green?
1/4
Matthew is playing a game using a fair coin. Contestants win the game if the fair coin lands tails up. If 250 contestants play, how many are expected to win?
125 contestants
Liz flips a coin 50 times. The coin lands on heads 20 times and tails 30 times. Complete each statement:
The theoretical probability of the coin landing on heads is ____%
Based on Liz's results, the experimental probability of the coin landing on heads is _____%
50 and 40
Ollie is playing a game in which he has to choose one of two numbers (2,7) and then one of five vowels (a,e, i, o, u). How many possible outcomes are there?
10
A bakery sells wheat, multigrain, rye, and oat bread. Each type of bread is available as a loaf or as dinner rolls. Find the number of possible outcomes
8
A spinner has 8 equal sized sections. Six of the sections are blue. What is the probability the spinner will land on blue? 2 answers one in fraction form and one in percent form.
3/4 and 75%
In a different game, the probability of correctly guessing which of the 5 boxes contain a tennis ball is 1/5. About how many winners would be expected if 60 contestants play the game?
12 winners
After many studies, a researcher finds that the probability that a word-recognition program correctly interprets a hand-written word is 9/10. How many words out of 40 would the researcher expect the program to correctly interpret?
36
A new car can be purchased with a choice of four exterior colors (A, B, C, or D) and three interior colors (1,2, 3). Make an organized list of all the possible color combinations for the car. (there should be 12 answers)
A1 B1 C1 D1
A2 B2 C2 D2
A3 B3 C3 D3
A t-shirt comes in sizes S, M, and L. There are also choices of Blue and Yellow colors. How many possible outcomes are there?
6
Marcus is rolling a number cube with sides labeled 1 to 6. It is _______ that the number will show 10. (words)
impossible
The same number of 7th and 8th graders attend John Hughes Middle School. A student is randomly chosen to raise the flag each day. About how many times is it expected that a 7th grader will raise the flag during the next 30 days of school?
15 times
50 times
The list (table) shows the possible outcomes of spinning the given spinner and flipping a fair coin. Find the probability of the coin landing heads up and the pointer landing on either: 1,2, or 4
H,1 H,2 H,3 H,4 H,5
T,1 T,2 T,3 T,4 T,5
3/10
Spinning the pointer of a spinner twice and landing on blue both times is called a _______ event.
compound
2/7
George, Ringo, Paul, and John equally split the price of one season ticket so they can take turns attending baseball games. If a season ticket includes 68 games, how many games should John expect to attend this season?
17 games
The expected (experimental) is GREATER than the theoretical probability
The organized list shows all possible outcomes when three fair coins are flipped. The possible outcomes of each flip are heads (H) and tails (T). What is the probability that AT LEAST 2 fair coins land heads up when 3's are flipped?
HHH HHT HTH HTT
THH THT TTH TTT
4/8 or 50%
What is the probability that a fair coin will land facing tails up when flipped? (fraction)
1/2
If Jack and Diane design a game for the school fair. Contestants spin the pointer and win a prize if it lands on either of the two red sections (there are 16 total sections). How can Jack and Diane determine how many people are likely to be winners if 500 people play the game? (percent answers)
62.5%
A 12-sided solid has faces 1-12. If it is rolled 180 times, how many times would you expect either a 3, 9, or 11 to be rolled?
45 times
An arts and crafts store has a crate that contains 60 glass beads, 96 wood beads, and 144 brass beads. Friends take turns choosing a bead without looking, recording the bead type, and returning the bead to the crate. There are a total of 300 beads. What is the probability of each bead. (percent answers)
Glass: 20%
Wood: 32%
Brass: 48%
Carl hist the target 50% of the time he throws a ball at it. Carl uses a coin to simulate his next three pitches. He assigns H for a hit and T for a miss. The results of 12 trials are show below. What is the probability that Carl will hit the target with exactly tow of his next three throws? (fraction)
HHT HTH TTH HTT THT THH
HHT HTT HTH HTT TTH THT
5/12
When a fair coin is flipped, there are two possible _____.
outcomes