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