Question
One card is randomly selected from a deck of cards. Find the odds against drawing a red
six.
The odds against drawing a red six are
six.
The odds against drawing a red six are
Ask by Garza Edwards. in the United States
Mar 31,2025
Upstudy AI Solution
Tutor-Verified Answer
Answer
The odds against drawing a red six are
Solution
Let the number of red sixes in a standard deck be
The total number of outcomes is
The odds against drawing a red six are given by the ratio of the number of unfavorable outcomes to the number of favorable outcomes:
Simplify the ratio by dividing both numbers by
Thus, the odds against drawing a red six are
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Simplify this solution Extra Insights
In a standard deck of 52 cards, there are two red sixes: the six of hearts and the six of diamonds. Therefore, the odds against drawing a red six are the number of unfavorable outcomes to the number of favorable outcomes. There are 50 cards that are not a red six, so the odds against drawing a red six can be calculated as 50 to 2. Simplifying this gives 25 to 1.
So, the odds against drawing a red six are
