Math Problem Statement

How probable is it? Someone computes the probabilities of several events. The probabilities are listed below. Select the best verbal description for each probability.

Part 1 of 8

(a) The probability 

0.04

 indicates that ▼(Choose one).

Part 2 of 8

(b) The probability 

2.91

 indicates that ▼(Choose one).

Part 3 of 8

(c) The probability 

0.15

 indicates that ▼(Choose one).

Part 4 of 8

(d) The probability 

0

 indicates that ▼(Choose one).

Part 5 of 8

(e) The probability 

1.00

 indicates that ▼(Choose one).

Part 6 of 8

(f) The probability 

0.87

 indicates that ▼(Choose one).

Part 7 of 8

(g) The probability 

−0.98

 indicates that ▼(Choose one).

Part 8 of 8

(h) The probability 

0.50

 indicates that ▼(Choose one).

the options for answers for all 8 questions are the event is certain to happen, The event is as likely to happen as not, the event may happen but is not likely, the event is very likely to happen but is not certain, it would be unusual for this event to happen, the event cannot happen, someone made a mistake

Solution

Here are the correct interpretations for each probability:

Part 1 of 8
(a) The probability 0.04 indicates that it would be unusual for this event to happen.

Part 2 of 8
(b) The probability 2.91 indicates that someone made a mistake (since probabilities must be between 0 and 1).

Part 3 of 8
(c) The probability 0.15 indicates that the event may happen but is not likely.

Part 4 of 8
(d) The probability 0 indicates that the event cannot happen.

Part 5 of 8
(e) The probability 1.00 indicates that the event is certain to happen.

Part 6 of 8
(f) The probability 0.87 indicates that the event is very likely to happen but is not certain.

Part 7 of 8
(g) The probability −0.98 indicates that someone made a mistake (since probabilities cannot be negative).

Part 8 of 8
(h) The probability 0.50 indicates that the event is as likely to happen as not.

Would you like further details or have any questions?

Here are 5 related questions:

  1. What is the difference between theoretical and experimental probability?
  2. How do you determine if a probability is reasonable or not?
  3. Can a probability ever be greater than 1?
  4. What is the probability of mutually exclusive events?
  5. How do odds differ from probability?

Tip: Always ensure the probability values are within the range of 0 to 1, inclusive, when calculating or interpreting them.

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Math Problem Analysis

Mathematical Concepts

Probability

Formulas

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Theorems

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Suitable Grade Level

Grades 7-9