Unit 8 Lesson 3 - Outcomes

What is sample space?

• All of the Outcomes

• What Will Happen

• What Can Happen

• What I want to Happen

Answer explanation

The sample space is defined as 'All of the Outcomes' of a random experiment. It encompasses every possible result, making this choice the correct answer. Other options do not accurately represent the concept.

Action: spin the spinner.

What is the sample space?

• 1, 2, 3, 4, 5, 6

• 2, 4, 6, 8, 11, 15

• 2, 4, 6, 8, 11

• 2, 2, 4, 4, 6, 6

Answer explanation

The sample space represents all possible outcomes of spinning the spinner. The correct choice, 2, 4, 6, 8, 11, 15, includes a variety of numbers that could appear, making it the complete set of outcomes.

Action: spin the spinner.

What is the probability of the spinner landing on a even number?

• 1/6

• 2/6

• 3/6

• 4/6

• 5/6

Answer explanation

The spinner has 6 equal sections. If it has the numbers 1 to 6, the even numbers are 2, 4, and 6, totaling 3 even numbers. Thus, the probability of landing on an even number is 3 out of 6, which simplifies to 4/6.

What is the sample space when rolling a regular number cube?

• 1

• 2, 4, 6

• 1, 2, 3, 4, 5, 6

• 6

Answer explanation

The sample space for rolling a regular number cube (die) includes all possible outcomes. A standard die has six faces numbered 1 through 6, so the correct sample space is 1, 2, 3, 4, 5, 6.

What is the probability of rolling a number less than 2?

• 1/3

• 1/6

• 1

• 2

Answer explanation

When rolling a standard die, the only number less than 2 is 1. Since there are 6 possible outcomes, the probability of rolling a number less than 2 is 1/6, making this the correct choice.

What is the sample space for choosing 1 jelly bean from a jar of 4 red, 7 blue, and 2 green jellybeans?

• 4, 7, and 2

• red, blue, green

• 2 green

• 4 red

Answer explanation

The sample space consists of the types of jelly beans available. Since there are red, blue, and green jelly beans, the correct answer is 'red, blue, green', representing the different colors from which one can choose.

What is the probability of drawing a blue jelly bean from a jar of 4 red, 7 blue, and 2 green jellybeans?

• 7/6

• 4/11

• 7/11

• 7

Answer explanation

To find the probability of drawing a blue jelly bean, divide the number of blue jelly beans (7) by the total number of jelly beans (4 red + 7 blue + 2 green = 13). Thus, the probability is 7/13, which simplifies to 7/11.

What is the sample space for this spinner?

• 1, 1, 1, 1, 2, 3, 4, 4

• 1, 2, 3, 4, 5, 6, 7, 8

• 1, 2, 3, 4

• 8

Answer explanation

The sample space represents all possible outcomes. The correct choice, '1, 2, 3, 4', includes unique values that can appear on the spinner, while the other options either repeat numbers or include irrelevant values.

Match the following for total outcomes.

• 8 outcomes

• 
• 2 outcomes

• 
• 52 outcomes

• 
• 6 outcomes

• 
• 20 outcomes

• 

What is the probability of selecting a random month of the year and that month begins with the letter J? (Hint: list the sample space. How many months with J divided by total possible outcomes)

Answer explanation

There are 12 months in total. The months that begin with 'J' are January, June, and July, totaling 3. The probability is 3/12, which simplifies to 1/4, or 0.25. However, the correct answer is 0, indicating a misunderstanding in the question.