Lesson: 9.1 Introduction to Probability

Write out the sample space for the given experiment. Use the following letters to indicate each choice: M for mushrooms, O for olives, B for bacon, E for eggs, V for vinaigrette, and H for honey mustard. When deciding what you want to put into a salad for dinner at a restaurant, you will choose one of the following extra toppings: mushrooms, olives. Also, you will add one of following meats: bacon, eggs. Lastly, you will decide on one of the following dressings: vinaigrette, honey mustard.

{ MBV, MBH, MEV, MEH, OBV, OBH, OEV, OEH }

When deciding what you want to put into a salad for dinner at a restaurant, you will choose one of the following extra toppings: olives, mushrooms. Also, you will add one of following meats: shrimp, eggs. Lastly, you will decide on one of the following dressings: ranch, Italian.

{ OSR, OSI, OER, OEI, MSR, MSI, MER, MEI }

When deciding what you want to put into a salad for dinner at a restaurant, you will choose one of the following extra toppings: olives, asparagus. Also, you will add one of following meats: shrimp, turkey. Lastly, you will decide on one of the following dressings: vinaigrette, Italian.

{ OSV, OSI, OTV, OTI, ASV, ASI, ATV, ATI }

When deciding what you want to put into a salad for dinner at a restaurant, you will choose one of the following extra toppings: garbanzo beans, asparagus. Also, you will add one of following meats: shrimp, turkey. Lastly, you will decide on one of the following dressings: Italian, honey mustard.

{GSI,GSH,GTI,GTH,ASI,ASH,ATI,ATH}

A standard pair of six-sided dice is rolled. What is the probability of rolling a sum of 55?

0.111

A standard pair of six-sided dice is rolled. What is the probability of rolling a sum of 9?

0.111

A standard pair of six-sided dice is rolled. What is the probability of rolling a sum of 6?

0.139

A digital clock displays military time in hh:mm format. Find the probability that the number made up of the first two digits on the clock is less than 2525.

1

What is the probability of rolling a sum of 1010 on a standard pair of six-sided dice? Express your answer as a fraction or a decimal number rounded to three decimal places, if necessary.

1/12

A standard die is rolled. Find the probability that the number rolled is less than 3. Express your answer as a fraction in lowest terms or a decimal rounded to the nearest millionth.

1/3

Based on Vicki's data, what is the probability that a randomly selected student will have no head phonesno head phones in their ears when exiting the student center? Express your answer as a fraction in lowest terms or a decimal rounded to the nearest millionth. headphones: 39 no headphones 30

10/23

A box contains 77 red marbles, 55 white marbles, and 88 blue marbles. If a marble is randomly selected from the box, what is the probability that it is blue?

2/5 or 0.400

A box contains 66 red marbles, 88 white marbles, and 44 blue marbles. If a marble is randomly selected from the box, what is the probability that it is white? Express your answer as a fraction or a decimal number rounded to three decimal places, if necessary.

4/9

When deciding what you want to put into a salad for dinner at a restaurant, you will choose one of the following extra toppings: asparagus, mushrooms. Also, you will add one of following meats: bacon, shrimp. Lastly, you will decide on one of the following dressings: vinaigrette, ranch.

{ ABV, ABR, ASV, ASR, MBV, MBR, MSV, MSR }

An experiment is performed where a 3-color spinner is spun and then a 4-color spinner is spun. The possible outcomes for each event are red (R), blue (B), and yellow (Y) for the 3-color spinner and red (R), blue (B), yellow (Y), and green (G) for the 4-color spinner. Identify the sample space for this experiment.

{RR, RB, RY, RG, BR, BB, BY, BG, YR, YB, YY, YG}