Theoretical and Experimental Probability

What is his experimental probability as a fraction?

• 3/7

• 15/35

• 1/2

• 5/7

Jill rolled a "5" fifteen times out of 20 rolls on a dice. What is the experimental probability as a SIMPLIFIED FRACTION!

• 3/7

• 3/6

• 3/5

• 3/4

If the spinner was spun 50 times and landed on 11 fifteen times, which statement is true?

• The experimental probability of landing on 11 is 1/8 while the theoretical probability of landing on 11 is 3/10

• The theoretical probability of landing on 11 is 12.5% while the experimental probability of landing on 11 is 30%

• The experimental probability of landing on 11 is less than the theoretical probability of landing on 11

• The theoretical probability of landing on 11 is equal to the experimental probability of landing on 11

• 75

• 45

• 15

• 40

During a festival game, children attempt to wind a prize by drawing a token from a bag. The tokens are labeled Large Prize, Small Prize, or No Prize. After a token is drawn, it is returned to the bag. The table on the left shows the three types of tokens and the number of each token in the bag.

Lia observes the game and keeps track of 20 consecutive draws from the bag. She records her results in the table shown on the right.

Which statements about the game are true? Drag each statement to the True or False category.

Groups:

(a) True

,

(b) False

• From Lia's observed frequencies, the probability of winning a large or small prize is 0.7.

• Based on the theoretical probability, it is more likely to win a small prize than a large prize.

• The observed probability model matches the theoretical probability model.

• The theoretical probability of winning a small prize is 0.10.

• The theoretical probability of winning a large prize is 0.125.

• From Lia's observed frequencies, the probability of getting no prize is 0.65.

A 7th grade class rolls a number cube 50 times. The number cube has sides labeled 1 through 6. The table shows the results. Find the experimental probability for​ "roll a number greater than 4​."

• 60%

• 20%

• 40%

• 80%

Yesica has a bag containing colored beads. Her classmates take turns selecting one bead from the bag without looking, recording the color in the table, and replacing the bead. What is the experimental probability that a red bead is selected?

If the spinner is spun 80 times, how many times would it land on yellow? (hint:set up a proportion)

• 10

• 20

• 30

• 40

Neil tossed a 6-sided die 90 times. The results of his tosses are recorded in the table below: Which number has the experimental probability of 13/90?

• 1

• 2

• 3

• 4

• 5

The arrow of this spinner was spun 60 times. On 45 out of 60 times, the arrow landed on a section labeled with a multiple of 4. What was the experimental probability of the arrow landing on a section labeled with a multiple of 4?

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