Question

5. A student draws one card at random from a standard deck of 52 playing cards. The probability that the card is a diamond or a face card is A. 0.058 B. 0.077 C. 0.423 D. 0.481

Answer 1

In a standard deck of 52 cards, there are 13 diamonds and 12 face cards (4 Queens, 4 Jacks and 4 Kings)

Note that in each type of face cards, there is 1 diamond.

So we have : 10 diamonds and 12 face cards.

The probability is :

`\begin{gathered} p=(10+12)/(52)=(22)/(52) \\ p=0.423 \end{gathered}`

The answer is C. 0.423