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

$\frac{13}{52}+\frac{13}{52}=\frac{26}{52}=\frac{1}{2}$

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

$\frac{1}{6}$

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

$\frac{1}{2}\times\frac{1}{6}=\frac{1}{12}$

The final answer

$\frac{1}{12}=0.08333$