Experimental and Theoretical Probability

Kanika has a bag of marbles with different colors, as shown above (1 green, 5 blue, 2 red, 4 pink). She runs an experiment by picking a marble, recording down the color she picked, then putting the marble back to pick another marble. She recorded the following on her paper: 5 green, 10 blue, 6 red, 7 pink. Find the EXPERIMENTAL probability of picking a red marble. P(red) =

• 2/12

• 6/12

• 2/28

• 6/28

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CCSS.7.SP.C.6

Kanika has a bag of marbles with different colors, as shown above (1 green, 5 blue, 2 red, 4 pink). She runs an experiment by picking a marble, recording down the color she picked, then putting the marble back to pick another marble. She recorded the following on her paper: 5 green, 10 blue, 6 red, 7 pink. Find the EXPERIMENTAL probability of picking a pink marble. P(pink) =

• 4/12

• 7/12

• 4/28

• 7/28

Kanika has a bag of marbles with different colors, as shown above (1 green, 5 blue, 2 red, 4 pink). Find the THEORETICAL probability of picking a red marble. P(red) =

• 2/12

• 6/12

• 2/28

• 6/28

Kanika has a bag of marbles with different colors, as shown above (1 green, 5 blue, 2 red, 4 pink). Find the THEORETICAL probability of picking a pink marble. P(pink) =

• 4/12

• 7/12

• 4/28

• 7/28

When rolling two dice, the sum of the dice is shown below. What is the THEORETICAL probability of getting an even number? P(even) =

• 25%

• 50%

• 67%

• 75%

When rolling two dice, the sum of the dice is shown below. What is the THEORETICAL probability of getting a number less than or equal to 7? P(less than or equal to 7) =

• 37%

• 50%

• 58%

• 71%

A bag of marbles has 3 red marbles, 5 green marbles, and 4 blue marbles. Flora picks a marble out of the bag, what is the probability that the marble is RED? P(red)

• .20

• .25

• .30

• .35

A bag of marbles has 3 red marbles, 5 green marbles, and 4 blue marbles. If Flora runs an experiment with 250 trials, how many times should she expect to pick BLUE?

• 68

• 77

• 83

• 91

If Raj got was rolling a dice to try to get a 6 and got an experimental probability of 31%, but the theoretical probability is 17%, the Law of Large numbers says that the more he rolls the dice, the closer the experimental probability will get to the theoretical probability.

• TRUE

• FALSE