Question

What is the probability of drawing a diamond or a spade card from a standard deck of cards and rolling a 2 on a six-sided die?

Answer 1

Given

What is the probability of drawing a diamond or a spade card from a standard deck of cards and rolling a 2 on a six-sided die?

Solution

Number of diamond 13

Number of spade 13

Total deck is 52

Total outcome of a die 6

`\text{Probability =}\frac{Possible\text{ outcome}}{\text{Total outcome}}`

The probability of drawing a diamond or a spade card from a standard deck of cards

`(13)/(52)+(13)/(52)=(26)/(52)=(1)/(2)`

The probability of rolling a 2 on a six-sided die

`(1)/(6)`

Finally

The probability of drawing a diamond or a spade card from a standard deck of cards and rolling a 2 on a six-sided die

`(1)/(2)*(1)/(6)=(1)/(12)`

The final answer

`(1)/(12)=0.08333`