I do not understand how the odds of drawing a queen from a deck of cards is 3to1
it's 3 to 1 because there are 4 queens in 1 deck so if u do 4-1 it equals 3 because three are left and then one itself
it isn't.
prob of drawing a queen = 4/52 = 1/13
prob of not drawing a queen = 12/13
so the odds in favour of drawing a queen = (1/13) / (12/13)
= 1/12
or 1 : 12
To understand how the odds of drawing a queen from a deck of cards are 3 to 1, we need to determine the probability of drawing a queen and then express it as a ratio.
A standard deck of playing cards consists of 52 cards, with 4 queens (one each of hearts, spades, diamonds, and clubs). If we want to find the probability of drawing a queen, we need to divide the number of favorable outcomes (getting a queen) by the total number of possible outcomes (drawing any card).
First, let's determine the number of favorable outcomes. Since there are 4 queens in the deck, the number of favorable outcomes is 4.
Next, let's find the total number of possible outcomes. Since there are 52 cards in a deck, the total number of possible outcomes is 52.
Now, we can calculate the probability of drawing a queen by dividing the number of favorable outcomes (4) by the total number of possible outcomes (52):
Probability of drawing a queen = 4/52 = 1/13
So, the probability of drawing a queen from a deck of cards is 1/13. This means that, on average, for every 13 cards drawn, one of them will be a queen.
To express this probability as odds, we write it as a ratio of the probability of the event occurring to the probability of the event not occurring.
The probability of drawing a queen is 1/13, and the probability of not drawing a queen is 12/13 (since there are 52 - 4 = 48 non-queen cards).
To express the odds as a ratio, divide the probability of drawing a queen by the probability of not drawing a queen:
Odds of drawing a queen = (1/13) / (12/13) = 1/12
Thus, the odds of drawing a queen from a deck of cards are 1 to 12, which is different from the 3 to 1 ratio you mentioned. It is possible that there was a misunderstanding or a different question being considered.