Answer:
7/40
Step-by-step explanation:
1) First of all, we calculate the probability to flip tail in the coin.
Since the coin has only 2 outcomes (head or tail) and the successfull event is just one of them (tail), the probability of getting a tail when flipping the coin is:
[tex]p(t)=\frac{1}{2}[/tex]
2) Now we calculate the probability of rolling the dice and obtaining at least 14.
Here the successfull events are all the numbers from 14 to 20, so the following numbers:
14, 15, 16, 17, 18, 19, 20
So there are 7 successfull outcomes.
The total number of outcomes is instead 20, so the probabiity of rolling at least 14 is:
[tex]p(14)=\frac{14}{20}=\frac{7}{10}[/tex]
The two events 1) and 2) are independent events (they do not depend on each other); the combined probability of two independent events can be calculated as the product between the individual probabilities, so in this case:
[tex]p(t)p(14)=\frac{1}{2}\frac{7}{20}=\frac{7}{40}[/tex]
