Question

The odds that you will pick a heart from a standard deck of 52 cards is 13:39. True or False?

Answer 1

Depends on what you mean by 'odds'.

The probability of picking a heart from a standard deck is 13/52 = 1/4 .

I think 13:39 or "one to three in favor" is correct,
but I'm not that solid working with 'odds'.

Answer 2

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

$Odds=\frac{\text{Number of heart cards}}{\text{Number of cards which are not heart}}$

$Odds=\frac{13}{39}$

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.

$Odds=\frac{1}{3}$

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.