Question

Given a standard deck of cards, and you draw a single card at random. What is the probability of drawing

a 7 or an 8?

Answer 1

Probability of drawing a 7 or an 8 is
`(2)/(13)`

Explanation:

Total number of cards in the given deck = 52

Now, the number of 7 in the deck = 4

Also, the number of 8 in the deck = 4

So, the total number of ( 7 + 8) in the deck = 4 + 4 = 8 cards

Let E: Event of picking a 7 or an 8

Here, the total number of favorable outcomes = 8

Now,
`\textrm{P(E) }  = \frac{\textrm{Number of outcomes favorable to E }}{\textrm{Total number of outcomes}}`

So, here
`\textrm{P(Picking a 7 or 8) }  = \frac{\textrm{8 }}{\textrm{52}}  = (2)/(13)`

or, P(Picking a 7 or 8) = 2/13

Hence, The probability of drawing a 7 or an 8 is
`(2)/(13)`