Question

Kim rolls a dice and flips a coin. a) calculate the probability that she gets a 2 and a head

Answer 1

Kim rolls a dice and flips a coin.

For coin: we have either H or T  

For dice: we have 1, 2, 3, 4, 5 or 6

On a coin, the probability of heads:  $\frac{1}{2}$

On a dice, the probability of getting 2 : $\frac{1}{6}$

Hence, the probability of getting a 2 and a head is

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

So, the probability that Kim gets a 2 and a head is $\frac{1}{12}$