Question

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

Answer 1

`(3)/(4)`

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) = (4)/(52) = (1)/(13) $`

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

`$ \implies $` P(not getting a 7)
`$ = 1 - (1)/(13) = (12)/(13) $`