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Lesson: Constructing Sample Space Using Tree Diagrams or Lists

Worksheet: Constructing Sample Space Using Tree Diagrams or Lists • 18 Questions

Q1:

I write a two-digit number by randomly picking each digit to be either 3 or 7, where digits can be repeated. Write the set of all possible outcomes.

  • A
  • B
  • C
  • D
  • E

Q2:

A bag contains 10 balls numbered from 32 to 41. Which of the following is the sample space for the experiment of choosing a numbered ball at random?

  • A
  • B
  • C
  • D
  • E

Q3:

A bag contains 7 balls which are numbered 1 to 7. Determine the sample space of choosing a ball at random.

  • A
  • B
  • C
  • D

Q4:

Using the Fundamental Counting Principle, determine the total number of outcomes of tossing 3 quarters and 3 pennies.

Q5:

Using the Fundamental Counting Principle, determine the total number of outcomes of tossing 2 quarters and 4 pennies.

Q6:

Which of the following represents the sample space of choosing a digit at random from the number 148 250?

  • A
  • B
  • C
  • D

Q7:

If two spinners are spun, where the first is numbered from 1 to 2 and the second from 1 to 9, determine the probability of both spinners stopping at even numbers using a tree diagram.

  • A5 out of 11
  • B14 out of 18
  • C4 out of 18
  • D8 out of 18
  • E9 out of 11

Q8:

Use the fundamental counting principle to determine the total number of outcomes of picking out an outfit from 4 shirts, 8 pairs of pants, and 2 jackets.

Q9:

Use the fundamental counting principle to determine the total number of outcomes of picking out an outfit from 4 shirts, 3 pairs of pants, and 7 jackets.

Q10:

Use the Fundamental Counting Principle to find the total number of outcomes of rolling 2 number cubes and tossing 8 coins.

Q11:

In an experiment, this spinner is spun. List all the possible outcomes.

  • A
  • B
  • C
  • D
  • E

Q12:

Upon rolling a die and flipping a coin once, is the event of getting tails and an even number, is the event of getting heads and an odd number, and is the event of the nonoccurence of or the nonoccurence of . Determine the outcomes in the event .

  • A
  • B
  • C
  • D

Q13:

Use the fundamental counting principle to determine the total number of outcomes of picking out an outfit from 3 shirts, 3 pairs of pants, and 6 jackets.

Q14:

Write the sample space for whether a regular coin lands heads side up (H) or tails side up (T) when flipped.

  • A
  • B
  • C
  • D
  • E

Q15:

Which of the following describes the sample space of a random experiment?

  • AAn experiment which we can determine all its possible outcomes.
  • BThe set of all possible outcomes of a random experiment.
  • CThe set of all impossible outcomes of a random experiment.
  • DThe set of some possible outcomes of a random experiment.

Q16:

A coin is flipped three times. Which of the following is the event that at least two tails appear?

  • A
  • B
  • C
  • D

Q17:

Use the Fundamental Counting Principle to find the total number of outcomes of rolling 4 number cubes and tossing 2 coins.

Q18:

Use the Fundamental Counting Principle to find the total number of outcomes of rolling 6 number cubes and tossing 4 coins.

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