Question

There are 13 cards with diamonds in a standard deck of 52 cards.What is the probability of drawing a diamond from a standard deck of cards AND getting tails uponflipping a coin?A) 3/4B) 1/2C) 1/8D) 1/4

Answer 1

Answer: C) 1/8

Step-by-step explanation

The probability is given by:

`P=\frac{desired\text{ event}}{total\text{ events}}`

Thus, as we are asked for the probability of drawing a diamond from a standard deck of cards AND getting tails upon flipping a coin (independent events), we can calculate each probability of each event and then multiply them:

`P(\text{ drawing a diamond})=(13)/(52)`
`P(\text{getting tails})=(1)/(2)`

Independent probability:

`(13)/(52)\cdot(1)/(2)=(13)/(104)=(1)/(8)`