Question

If you select one card at random from a standard deck of 52 cards, what is the probability of that card being a 5, 6 OR 7?

Answer 1

To solve this question we will use the following expression to compute the theoretical probability:

`\frac{\text{favorable cases}}{total\text{ cases}}.`

1) We know that there are 4 fives, 4 sixes, and 4 sevens in a standard deck of 52 cards, then, the probability of selecting a 5, 6, or 7 is:

`(4+4+4)/(52)\text{.}`

2) Simplifying the above expression we get:

`(12)/(52)=(3)/(13)\text{.}`

Answer:

`(3)/(13)\text{.}`