Can someone please explain how to do #28?

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steveschoen's profile pic

steveschoen | College Teacher | (Level 1) Associate Educator

Posted on

As it states, "odds" is the ratio that compares the number of favorable outcomes to the number of unfavorable outcomes.  Or:

Odds =     Number of favorable outcomes  

             Number of unfavorable outcomes

As opposed to probability:

Probability =     Number of favorable outcomes     

                          Number of total outcomes

Given that, many times, especially here, the number of total outcomes = number of favorable outcomes + number of unfavorable outcomes, then the number of unfavorable outcomes = the total number of outcomes - the number of favorable outcomes.  So, that would give us:

Odds =                     Number of favorable outcomes                         

             Total number of outcomes - Number of favorable outcomes

For this problem, on a 6 sided die, there is only one "6".  So, there is only one favorable outcome, the single "6" out of 6 total outcomes.  So, plugging that into the equation:

Odds =  1/(6-1) = 1/5

Wiggin42's profile pic

Wiggin42 | Student, Undergraduate | (Level 2) Valedictorian

Posted on

Your textbook tells you that the odds are: 

number of favorable outcomes / number of unfavorable outcomes. 

To get a 6 in a six-sided die, the number of favorable outcomes is 1. 

The total number of outcomes is 6. So the number unfavorable outcomes is 5. 

The odds are then 1/5

nicole8923's profile pic

nicole8923 | Student, Grade 10 | (Level 1) Salutatorian

Posted on

There is only 1 favorable outcome which is 6 and 5 unfavorable outcomes. This means that the odds of a 6 is 1/5

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