Question

Wanda asks you to pick ONE card. What is the probability that you would pick a 7 or a diamond?

Answer 1

Given:

From the deck of cards given,

`\begin{gathered} number\text{ of 7}=4 \\ number\text{ of diamonds}=13 \\ number\text{ of 7 and diamond}=1 \\ Total\text{ number of cards}=52 \end{gathered}`

Hence, the probability of picking a 7 or a diamond would be;

`\begin{gathered} P(7\text{ or diamond\rparen}=P(7)+P(diamond)-P(7\text{ and diamond\rparen} \\ P(7\text{ or diamond\rparen}=(4)/(52)+(13)/(52)-(1)/(52) \\ P(7\text{ or diamond\rparen}=(4+13-1)/(52) \\ P(7\text{ or diamond\rparen}=(16)/(52) \\ P(7\text{ or diamond\rparen}=(4)/(13) \end{gathered}`

Therefore, the probability of pickng a 7 or a diamond is;

`(4)/(13)`