# What is the probability you will flip a head and roll a four if you flip a coin and roll a die at the same time?

Jul 27, 2018

$\text{p(rolling a four and tossing a head)} = \frac{1}{12}$

#### Explanation:

Outcomes of tossing a coin:
ie 2 outcomes

• tail

Outcomes of rolling a die:
ie 6 outcomes

• 1
• 2
• 3
• 4
• 5
• 6

$\text{p(rolling a four and tossing a head)} = \frac{1}{6} \times \frac{1}{2} = \frac{1}{12}$