Question

A card is selected from a standard deck of cards. What is the probability of drawing a ten or a spade?

Answer 1

Given:

• Total number if cards in a standard deck = 52

,

• Number of 10s in a standard deck = 4

,

• Number of spades in a standard deck = 13

Let's find the probability of drawing a ten or a spade.

To find the probability of drawing a ten or a spade, apply the formula:

P(ten or spade) = P(ten) + P(spade)

Where:

`\begin{gathered} P(ten)=\frac{number\text{ of 10s}}{total\text{ number of cards}}=(4)/(52)=(1)/(13) \\ \\ P(spade)=\frac{number\text{ of spades}}{total\text{ number of cards}}=(13)/(52)=(1)/(4) \end{gathered}`

Thus, we have: