Mixed Probability Problems

________________ probability is based on expected results.

• Theoretical

• Experimental

_________________ probability is based on the actual recorded results of an experiment.

• Theoretical

• Experimental

Stephanie uses a spinner with six equal sections numbered 2, 2, 3, 4, 5, and 6 to play a game. Which of the following statements is true? Select all that apply.

• The probability of the pointer landing on an even-numbered section is about 66.67%

• It is impossible that the pointer will land on 1.

• It is less likely that the pointer will land on an odd-numbered section.

• It is certain that the pointer will land on a number less than 6.

Does the following list represent a complete probability model? Explain.
P(red) = $\frac{1}{6}$ , P(yellow) = $\frac{1}{3}$ , P(blue) = $\frac{1}{12}$ , P(green) = $\frac{1}{2}$     

• No; the product of the probabilities is less than 1.

• No; the sum of the probabilities is greater than 1.

• Yes; the product of the probabilities is less than 1.

• Yes; the sum of the probabilities is greater than 1.

Shianne plays a game by rolling two number cubes with sides numbered 1 through 6. To win the game, the sum of the numbers facing up must be 11. What is the probability that Shianne will win the game?

• P(sum of 11) = $\frac{2}{6}$

• P(sum of 11) = $\frac{2}{12}$

• P(sum of 11) = $\frac{2}{36}$

• P(sum of 11) = $\frac{4}{36}$

Madeleine spins the pointer of a spinner. The spinner has 7 equal-sized sections labeled 1 to 7. What is the probability that Madeleine will spin a 7?

• $\frac{1}{7}$

• $\frac{7}{7}$

• $\frac{2}{7}$

• $\frac{4}{7}$

Adam has a bag of marbles that are all the same size. Of all the marbles in the bag, there are 6 red, 7 white, 3 black, and 4 green marbles. Which of the following statements are true? Select all that apply.

• It is impossible that Adam will draw a blue marble.

• It is more likely that Adam will draw a black marble than a green marble.

• It is certain that Adam will draw either a red, white, black, or green marble.

• It is unlikely that Adam will draw a black marble.

• It is neither likely nor unlikely that Adam will draw a green marble.

The random numbers represent 10 trials of simulation. The numbers 0-7 represents students who watched television last night, and the numbers 8 and 9 represent students who did not. Based on the simulated data, what is the probability that exactly 2 out of a group of 4 randomly selected 7th graders watched TV last night?

• $\frac{1}{10}$

• $\frac{4}{10}$

• $\frac{5}{10}$

• $\frac{9}{10}$

The robotics team is handing out T-shirts to its members. There are 5 blue, 7 green, 9 red, and 4 yellow T-shirts in all. If Maryluz is handed a T-shirt, what is the probability that the color is red?

• $\frac{9}{25}$

• $\frac{9}{16}$

• $\frac{3}{5}$

• $\frac{16}{25}$

A game has 15 balls for each of the letters B, I, N, G, and O. The table shows the results of drawing balls 1,250 times. For which letter is the experimental probability closest to the theoretical probability?

• B

• I

• N

• G

• O