Question

One card is randomly selected from a deck of cards find the odds against drawing a seven

Answer 1

Answer:

$\frac{3}{4}$

Step-by-step explanation:

Probability of getting a 7 + Probability of not getting a 7 = 1.

Odds against drawing a 7 = Probability of not getting a 7.

We could calculate the probability of getting a 7 and subtract 1 from it to get the answer.

There a four sevens in a deck of card, one of each kind.

Probability of getting a 7 = $P(7) = \frac{4}{52} = \frac{1}{13}$

$\implies P(not \hspace{1mm} getting \hspace{1mm} a \hspace{1mm} 7) = 1 - P(7)$

$\implies$ P(not getting a 7) $= 1 - \frac{1}{13} = \frac{12}{13}$