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:

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

Thus, we have: