Question

My dad heard this story on the radio. At Duke University, two students had received A’s in chemistry all semester. But on the night before the final exam, they were partying in another state and didn’t get back to Duke until it was over. Their excuse to the professor was that they had a flat tire, and they asked if they could take a make-up test. The professor agreed, wrote out a test and sent the two to separate rooms to take it. The first question (on one side of the paper) was worth 5 points, and they answered it easily. Then they flipped the paper over and found the second question, worth 95 points: ‘Which tire was it?’ What was the probability that both students would say the same thing? My dad and I think it’s 1 in 16. is that right?

Answer 1

Answer:

1/4

Step-by-step explanation:

Possible outcomes

For example let's name the tyre ABCD so the possible answer given by the students are

AA,AB,AC,AD,BA,BB,BC,BD,CA,CB,CC,CD,DA,DB,DC,DD.. Giving16 possible result

probability of giving same answer is

possible same answer is AA,BB,CC,DD. giving 4 possible result

Therefore 4/16 = 1/4