Question
A new driver decides to take a Driver's Education course. The probability that you will not suffer an accident during your first year after following the course is 85%. 80% of new drivers also follow this course and the same percentage does not suffer accidents in their first year of driving. • What is the probability that a new driver has received the course if he or she has had an accident in his or her first year?
241
likes1206 views
Answer to a math question A new driver decides to take a Driver's Education course. The probability that you will not suffer an accident during your first year after following the course is 85%. 80% of new drivers also follow this course and the same percentage does not suffer accidents in their first year of driving. • What is the probability that a new driver has received the course if he or she has had an accident in his or her first year?
Andrea
4.583 Answers
To find P(C | A)
P(C | A) = \frac{P(A | C) \times P(C)}{P(A)}
Given:
- P(A | C) = 0.15
- P(C) = 0.80
- P(A) = 0.20
Substitute the values into the formula:
P(C | A) = \frac{0.15 \times 0.80}{0.20} = \frac{0.12}{0.20} = 0.60
Therefore, the probability that a new driver has taken the course given that they had an accident in their first year is \boxed{60\%}
Given:
-
-
-
Substitute the values into the formula:
Therefore, the probability that a new driver has taken the course given that they had an accident in their first year is
Frequently asked questions (FAQs)
What is the lowest possible temperature in Celsius (rounded to the nearest degree) ever recorded on Earth?
+
Question: Find the area of a triangle with side lengths 5 cm, 12 cm, and 13 cm using Heron's Formula.
+
Math Question: What is the smallest possible positive integer value of n that satisfies Fermat's Theorem equation: x^n + y^n = z^n, where x, y, and z are distinct positive integers?
+
New questions in Mathematics