Theoretical
Dulce is flipping a coin. What is the theoretical probability the coin will land on heads?
What is 1/2, 0.5, or 50%?
Tylaya flipped a coin 10 times and landed on heads 4 times. What is the experimental probability of landing on heads?
What is 2/5, or 0.4, or 40%?
A spinner lands on blue 4 times in 10 spins. How many times should you expect it to land on blue in 50 spins?
20
A spinner has 4 equal sections labeled A, B, C, and D. If you spin the spinner twice and get (A, B), (C, D), (A, A), and (B, C) in four trials, what is the experimental probability of spinning an A first?
2/4 = 1/2 or 50%
If you flip two fair coins, what is the theoretical probability of getting two heads?
1/4 or 25%
Adriel rolled a die twenty times. He landed on 2 five times, 3 seven times, 6 two times, and 5 six times. What is the experimental probability of landing on 6?
1/10, 0.1, or 10%
A survey shows that 3 out of 5 students prefer chocolate ice cream. If 200 students are surveyed, how many would you expect to prefer chocolate?
120
Tilden flip two coins 20 times. The results show 7 times heads-heads, 8 times heads-tails, and 5 times tails-tails. What is the experimental probability of getting heads-heads?
7/20
A fair six-sided die is rolled twice. What is the probability of rolling a 3 first and an even number second?
1/6 x 3/6 = 3/36 = 1/12
A basketball player makes 75% of their shots. If they take 80 shots, how many can they be expected to make?
60
In a dice-rolling experiment, a student rolls two six-sided dice 50 times. The sum of 7 appears 15 times. What is the experimental probability of rolling a sum of 7?
15/50 = 0.3 or 30%
A bag contains 5 red, 3 blue, and 2 yellow marbles. If you draw two marbles without replacement, what is the probability of getting a red and then a blue?
15/90 = 1/6
A bag contains 12 marbles: 5 red, 4 blue, and 3 green. If one marble is drawn at random, what is the theoretical probability of not drawing a red marble?
7/12 or 58.3%
Lilybeth recorded the types of birds that visit her bird feeder. Based on the results below, what is the probability the next bird will be a chickadee? Woodpecker = 3 Chickadee = 5 Cardinal = 1 Sparrow = 13 Blue Jay = 3
1/5, or 0.20, or 20%
In an experiment, a coin lands on heads 55 times in 100 flips. If you flip the coin 250 more times, how many times should you expect heads? round your answer to the nearest whole.
A bag contains 3 red, 2 blue, and 5 green marbles. You draw two marbles, record the results, and replace them. After 100 trials, you get (Red, Red) 18 times. What is the experimental probability of drawing two reds?
18/100 = 0.18 or 18%
A spinner has 8 equal sections numbered 1 through 8. What is the probability of spinning an even number and then a number greater than 5?
12/64 = 3/16
Jinni spins a spinner with 5 equal sections numbered 1-5. What is the probability she will spin and land on a composite number?
What is 1/5 or 0.2, or 20%?
Richard rolls a fair six-sided die 80 times. The results show that a 4 was rolled 19 times. Based on this experiment, what is the experimental probability of rolling a 4 on the next roll? Then, if Richard rolls the die 200 more times, how many times should they expect to roll a 4? round final answer to the nearest whole.
About 48 times
A factory produces toy cars, and 3% of them are defective. The factory manufactures 7,500 toy cars in a week. Using probability, predict how many defective cars will be produced. Then, if the factory increases production by 20% next week, how many defective cars should be expected?
270
Zoe flips a fair coin and rolls a fair six-sided die 100 times. The results show that the outcome (Heads, 3) occurred 14 times. Based on this, what is the experimental probability of flipping heads and rolling a 3 in the next trial?
14/100 = 0.14 or 14%
A deck of 52 cards is shuffled. What is the probability of drawing a heart and then a spade (without replacement)?
169/2652 = 13/204