Answer:
The given statement is true.
Step-by-step explanation:
Given statement : The odds that you will pick a heart from a standard deck of 52 cards is 13:39.
The odds for an event is the ratio of favorable outcomes to the unfavorable outcomes.
In a standard deck of cards:
Total number of cards = 52
Total number of heart cards = 13
Total number of card which are not heart = 52 - 13 = 39
The odds of picking a heart from a standard deck of 52 cards is
[tex]Odds=\frac{\text{Number of heart cards}}{\text{Number of cards which are not heart}}[/tex]
[tex]Odds=\frac{13}{39}[/tex]
The odds that you will pick a heart from a standard deck of 52 cards is 13:39.
We can further simplify the above ratio.
[tex]Odds=\frac{1}{3}[/tex]
The odds that you will pick a heart from a standard deck of 52 cards is 13:39 or 1:3.
Therefore the given statement is true.
