When calculating probability, we are comparing the number of favorable outcomes to the number of possible outcomes. To calculate the probability that the coin will land heads up and the pointer will land on either 1, 2, or 4, we will divide the number of favorable outcomes by the number of possible outcomes.
P=Favorable Outcomes/Possible Outcomes
First, we will find the number of possible and favorable outcomes. To do so, we will use the table from the exercise. Let's take a look.
1
2
3
4
5
H
(H,1)
(H,2)
(H,3)
(H,4)
(H,5)
T
(T,1)
(T,2)
(T,3)
(T,4)
(T,5)
We highlighted the favorable outcomes. Finally, we can find probability. We can see that there are 10 total outcomes in the sample space and 3 of them are favorable. Let's substitute these numbers into the formula.
P(Heads and1,2, or4)=3/10
