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Which of the following is an element in the sample space for first rolling a die and then tossing a coin? A. H7 B. TH C. 56 D. 5H

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Answer:

B. TH

Step-by-step explanation:

TH  is an element in the sample space for first rolling a die and then tossing a coin.

T means tails

H means heads

A coin has both heads and tails.

The sample space encompasses all of the potential outcomes of an event.  The correct option is D, 5H.

What is sample space?

The sample space encompasses all of the potential outcomes of an event. Sometimes determining the sample space is simple. For example, if you roll a die, six different outcomes are possible. You may get a 1, 2, 3, 4, 5, or 6 on the dice.

Since the sample space for rolling dice is 1, 2,3, 4, 5, and 6. While the sample space for tossing coins is H and T. Thus, the sample space for first rolling a die and then tossing a coin is,

  • 1H
  • 2H
  • 3H
  • 4H
  • 5H
  • 6H
  • 1T
  • 2T
  • 3T
  • 4T
  • 5T
  • 6T

As it can be seen that the only option that is in the sample space is 5H.

The correct option is 5H.

Learn more about Sample space:

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