Carson drives to school the same way each day and there are two independent traffic lights on his trip to school. He knows that

Question

4 years ago

8

Carson drives to school the same way each day and there are two independent traffic lights on his trip to school. He knows that

there is a 30% chance that he will have to stop at the first light and an 80% chance that he will have to stop at the second light. What is the probability that he will NOT have to stop at either light?
A: 14%
B: 24%
C: 50%
D: 80%

Mathematics

2 answers:

Lorico [155] · Answer 1 · 2021-12-28T19:37:16+03:00

Answer:The correct answer is A, 14%.

Step-by-step explanation:

All you have to do is take the 30% chance of you HAVING to stop at the first light and find the chance that you won't have to stop at the first light, which is 70%, or .7. Then you take the chance of having to stop at the second light which is 80%, and find the probability of NOT having to stop there, which is 20%, or .2. Then you multiply the probabilities of not having to stop, which equals to .14.

n200080 [17] · Answer 2 · 2021-12-28T20:50:35+03:00

n200080 [17]4 years ago

5 0

The probability that he will not have to stop at the first light is 1 - 0.3 = 0.7.
The probability that he will not have to stop at the second light is 1 - 0.8 = 0.2.
The probability that he will not have to stop at either light is:
$0.7\times0.2=0.14$
The correct answer choice is A.