Question

A game requires rolling a six-sided die numbered 1 to 6 and flipping a coin. What is the

probability rolling an even number and flipping a head

Answer 1

1/4

Explanation:

on flipping a coin, we either get a heads or a tails and both the events are equally likely. So the probablity of getting a tails is 1/2.

Now

On rolling a die, we can get 6 possible outcomes(1,2,3,4,5,6)

But the favourable outcomes (an even number) are only 3. So the probablity of getting an even number is 3/6=1/2

In case. we have 2 events that need to occur together, we simply need to multiply their individual probablities to get the probablity of getting both the events together

So our required answer is

p(even number)× p(tails)= 1/2 × 1/2 = 1/4