Question

If you flip a coin and roll a 6-sided die, what is the probability that you will flip a heads and roll at least a 3?

Answer 1

Answer:

Here I will list all of the possible outcomes.

Coin {H,T}

Die {1,2,3,4,5,6}

Each Head can be paired with each die roll - giving a set like this

Coin&Die {1H,1T,2H,2T,…}

Two Methods to Solve

Your outcome, 2H, divided by the total size of the output set. Thus gives you probability 1/12

Multiply the probability of Heads P(x=H | coin) = 1/2 . The probability of 2 P(x=2 | Die) = 1/6. Multiply 1/2(1/6) = 1/12.

The answer is 1/12

Any probability answer should be in the range [0,1]. If it's not, you've done something wrong.

In addition, the sum of the probabilities for the total set needs to equal 1. In our case, there are 12 items, each with probability 1/12; therefore 12(1/12)=1 and it’s ok.

Answer 2

Answer:1/3

Step-by-step explanation: