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Identifying Probability Values Which of the following are probabilities?

0 3/5 5/3 -0.25 250% 7:3 1 50-50 5:1 0.135 2.017

Short Answer

Expert verified

The probability values are 0, 35, 1, and 0.135.

Step by step solution

01

Given information

Numerical values are provided. The possible probability values need to be identified.

02

Probability

Probabilityis the chance that a particular event will happen or not.

The value for measures ranges from 0 to 1. The value of the probability can never be negative.It is because a favourable number of outcomes can never exceed total and the counts of outcomes cannot be negative.

03

Identifying probability values

The following numbers are classified whether they can be a probability value or not:

  • 0: Probability ranges from 0 to 1 (inclusive). Thus, 0 can be a probability value.
  • 35is a proper fraction. Its value lies between 0 and 1. Thus, 35can be a probability value.
  • 53is an improper fraction. Its value is greater than 1. Thus, 53cannot be a probability value.
  • -0.25 is a negative value. Probability can never be negative. Thus, -0.25 cannot be a probability value.
  • 250%=250100=2.5

250% is greater than 1. Thus, it cannot be a probability value.

  • 7:3can be written as 73. As73 is an improper fraction, its value is greater than 1. Thus, it cannot be a probability value.
  • 1: Probability lies between 0 to 1 (inclusive). Thus, 1 can be a probability value.
  • 50-50is not a numeric value that lies between 0 and 1. Thus, cannot be a probability value.
  • 5:1can be written as 51. As51 is an improper fraction, its value is greater than 1. Thus, it cannot be a probability value.
  • 0.135 lies between 0 and 1. Thus, it can be a probability value.
  • 2.017 is greater than 1. Thus, it cannot be a probability value.

Therefore, the values 0,35 , 1, and 0.135 are probabilities.

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