Likelihood
Theoretical & Experimental Probability
More Theoretical & Experimental Probability
Compound Events
100
The probability of an event is 65%. Describe the likelihood of the event.
likely
100
You randomly draw a marble from a bag, record its color, and then replace it. You draw a red marble 7 out of 25 times. What is the experimental probability that the next marble will be red?
28%
100
You flip a coin 3 times and it lands on heads each time (100% landing on heads). You flip a coin 400 times and it lands on tails 202 and heads 198 (49% landing on heads). Why did you get such different likelihoods for the same even?
The different sample sizes.
100
Draw a tree diagram to find the total number of possible outcomes when you select flip a coin, then spin a spinner with yellow, blue and green sections, then flip a coin again.
12 outcomes
200
There is an 80% chance of a thunderstorm on Saturday. Describe the likelihood that there is not a thunderstorm on Saturday.
unlikely
200
There are 4 red marbles and 12 orange marbles in a bag. You randomly choose one of the marbles. What is the probability of choosing a red marble?
25%
200
This table shows outcomes of a number cube with six equal sides numbered 1, 2, 3, 4, 5, and 6.
Based on the outcomes, enter the probability of rolling a 4 or a 5 on the cube.
32/100 or 32%
200
You roll a six-sided number cube and flip a coin. Draw a tree diagram to find the probability of rolling a number less than four and flipping tails.
3/12 or 25%
300
There is a 20% chance of snow flurries, a 65% chance of rain, and a 50% chance of sunshine tomorrow. Describe the likelihood of each event.
a. There is snow tomorrow.
b. There is rain tomorrow.
c. There is sunshine tomorrow.
a. unlikely
b. likely
c. equally likely to happen or not happen
300
A spinner has numbers 1 through 6 equally represented. After spinning 50 times, you spin 9 ones, 12 twos, 8 threes, 15 fours, 3 fives and 3 sixes. What is the experimental probability of spinning a five?
6/100 or 6%
300
A spinner with two equal portions, purple and yellow, is spun 1 time.
Enter the probability of the spinner landing on purple.
1/2 or 50%
300
There are 10 candies in a jar. 3 are starburst, 2 are jolly ranchers and 5 are hi-chews.
What is the probability of getting a starburst?
3/10 or 30%
400
A box contains 8 red marbles, 2 blue marbles, 2 green marbles, and 2 yellow marbles. Determine whether each statement correctly describes the likelihood of an event.
Select True or False for each statement.
False
False
True
400
What is the theoretical probability of rolling a 2 or 6 on a six sided die then flipping heads?
2/12 or 1/6 or 16.7%
400
This table shows the outcome of a spinner with three equal sized sections colored red, blue, and white.
Based on the outcomes, enter the experimental probability of landing on blue.
34/100 so 34%
400
What is the probability of flipping tails and rolling an even number?
3/12 or 1/4 or 25%
500
Describe the likelihood of the event?
a. There is a 100% chance it is Saturday tomorrow.
b. There is a 50% chance it will rain tonight.
c. There is 80% chance Mrs. Wiykovics will go to soccer game this weekend.
d. There is a 0% chance Miss Conley will not feed her chickens.
e. There is a 20% chance Mr. T will go golfing today.
a. certain
b. equally likely
c. likely
d. impossible
e. unlikely
500
In this game, you get to spin a spinner three times. The spinner has orange and purple. You win the game if you can get the same color all three times. What is the probability that you win this game?
2/8 or 1/4 or 25%
500
Martin has a fair coin. He flipped the coin 200 times. He recorded the number that was facing tails up after each flip.
What would the most likely number of flips that landed on tails.
A. 10; B. 200; C. 3; D. 98
D. 98 (close to 50%)
500
A spinner with two equal portions, purple and yellow, is spun 2 time.
Enter the probability of the spinner landing on yellow both times.
1/4 or 25%