Section 7A

Section 7A

Fundamentals of Probability

15. A restaurant has a special menu that features two choices of salad, eight choices of entree, and six choices of dessert. How many different three-course meals could you order?

•  $\frac{?}{salad}^{\cdot}\frac{?}{entree}^{\cdot}\frac{?}{dessert}$ 

•  $\frac{2}{salad}^{\cdot}\frac{8}{entree}^{\cdot}\frac{6}{dessert}$  

23. Randomly flipping a coin twice and getting heads up twice.

• HH, HT, TH, TT

•  $P\left(A\right)=\frac{number\ of\ times\ A\ occurs}{total\ number\ of\ observations}$  

•  $P\left(2\ heads\right)=\frac{number\ of\ times\ 2\ heads\ occurs}{total\ number\ of\ observations}=\frac{1}{4}$  

Make a probability distribution for the given set of events. You may use either a table or a graph (or both).

41. The sums that result when two fair 4-sided dice (tetrahedrons) are tossed.

• List all possible outcomes, then find the sums.

Multiple Choice

Decide which method (theoretical, relative frequency, or subjective) is appropriate, and compute or estimate the following probabilities. If you use the subjective method, explain your reasoning.

65. Not hearing your favorite group on a random shuffle of your playlist that has 889 songs, of which 127 are by your favorite group

• Theoretical

• Relative Frequency

• Subjective

65. Not hearing your favorite group on a random shuffle of your playlist that has 889 songs, of which 127 are by your favorite group

• 889 - 127 = 762

• 762/889 = 6/7

Open Ended

67. Suppose you reach in and draw two marbles at random from a bag containing 10 white marbles (W), 10 black marbles (B), and 10 red marbles (R).

a. List all possible outcomes of this process (for example, RR, BW, and so on).

b. Make a table or graph showing the probability distribution for the events of 0, 1, and 2 black marbles.

67. Suppose you reach in and draw two marbles at random from a bag containing 10 white marbles (W), 10 black marbles (B), and 10 red marbles (R).

a. List all possible outcomes of this process (for example, RR, BW, and so on).

• WW, WB, WR,

• BW, BB, BR,

• RW, RB, RR

Open Ended

67. Suppose you reach in and draw two marbles at random from a bag containing 10 white marbles (W), 10 black marbles (B), and 10 red marbles (R).

b. Make a table or graph showing the probability distribution for the events of 0, 1, and 2 black marbles.

Fill in the Blanks

Fill in the Blanks

Fill in the Blanks

Fill in the Blanks

Fill in the Blanks