The odds in favor of drawing a club is 1/3.
A probability is a number that reflects the chance or likelihood that a particular event will occur. It can be calculated by dividing favorable outcomes by total number of outcomes.
Odds are defined as the probability that the event will occur divided by the probability that the even will not occur.
According to the given question.
Total number of cards drawn from a deck of 52 cards = 1
Total number of cards in a deck = 52
Since, there are total 13 club cards in a deck of 52 cards.
So, the probability of getting a club card = [tex]\frac{13}{52} = \frac{1}{4}[/tex]
And,
The probability of not getting a club cardd = [tex]1 - \frac{1}{4} = \frac{3}{4}[/tex]
Thereofre,
The odds in favor of drawing a club
= [tex]\frac{probability\ of drawing\ a \club\ card}{probability\ of \ not\ drawing\ a \ club\ card}[/tex]
= [tex]\frac{\frac{1}{4} }{\frac{3}{4} } \\[/tex]
= [tex]\frac{1}{3}[/tex]
Hence, the odds in favor of drawing a club is 1/3.
Find out more information about probability and odds here:
https://brainly.com/question/13391129
#SPJ2
