Question

You flip a coin and roll the 20-sided figure. Find the probability of flipping tails and rolling at least a 14. The probability is
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Answer 1

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:

$p(t)=\frac{1}{2}$

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:

$p(14)=\frac{14}{20}=\frac{7}{10}$

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:

$p(t)p(14)=\frac{1}{2}\frac{7}{20}=\frac{7}{40}$