Question

4. Magnus flips a fair coin once and rolls an ordinary dice once.
a) Write down all the possible outcomes.
b) Find the probability that Magnus gets a head and a 3.

Answer 1

The possible outcomes of the fair coin and the dice is the sample space

• The list of possible outcomes is: {H1,H2,H3,H4,H5,H6,T1,T2,T3,T4,T5,T6}
• The probability of getting a head and a 3 is 1/12

How to list the possible outcomes

The items are given as:

Coin = 1

Dice = 1

The sample space of both items are:

Coin = {H,T}
Dice = {1,2,3,4,5,6}

So, the list of possible outcomes is: {H1,H2,H3,H4,H5,H6,T1,T2,T3,T4,T5,T6}

The probability of getting a head and a 3

From the above list, there is only one outcome that has a head and a 3 out of 12 possible outcomes

So, the probability of getting a head and a 3 is:

p = 1/12

Hence, the probability of getting a head and a 3 is 1/12

Read more about probability at:

https://brainly.com/question/25870256