Theoretical and Experimental Probability

What is the Theoretical Probability of NOT landing on red?

• 25%

• 50%

• 65%

• 66.7%

Which table shows an experimental probability of landing on tails that is closest to the theoretical probability of landing on tails?

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A standard 6-sided die is tossed 90 times. The results are recorded in the table. What number had an experimental probability that matched its theoretical probability?

• 1

• 2

• 3

• 4

• 5

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

Joe is spinning a spinner with four equal sections labeled red, blue, green and yellow. If he wants the experimental probability of spinning green to be similar to the theoretical probability of spinning green, what must happen?

• He should spin the spinner a large number of trials

• He should make more outcomes.

• He only needs to spin the spinner a small number of trials

• He should take away some of the outcomes

Lisa is rolling a six-sided number cube. If she wants the experimental probabilities to be as close as possible to the theoretical probabilities, how many times should she roll the number cube?

• 100 times

• 10,000 times

• 10,000,000 times

• 100,000 times

Cathy is playing a game with a set of 52 cards. The cards are different colors and each shows a number. The probability of randomly selecting a red card is 1/4. The probability of randomly selecting a 5 is 1/13. There is exactly one card in the deck that is red AND a 5.
If Cathy randomly selects a card, what is the probability that her card is either red OR a 5?

• 1/52

• 4/13

• 17/52

• 9/26

Two coins are tossed 10 times. Both coins land on heads 6 times. Compare the experimental probability to the theoretical probability. (Hint: You need to first create the sample space so that you can find the theoretical probability. Then you can compare the two probabilities.)

• Experimental Probability is slightly larger.

• Experimental Probability is significantly larger

• Experimental Probability is significantly smaller

• Experimental Probability is slightly smaller

The set of all possible outcomes in a probability experiment is called?

• Sample Space

• Simulation

• Experiment

• Probability

What do we call Experimental Probability?

• What Actually Happens

• What Should Happen