AP BIOLOGY

HEREDITY

BASICS OF PROBABILITY

Question [CLICK ON ANY CHOICE TO KNOW THE RIGHT ANSWER]
Which example shows a result that is impossible?
A
The sun will rise tomorrow
B
It will snow today
C
You will have two birthdays this year
D
You will roll a 4 on a die
Explanation: 

Detailed explanation-1: -Due to probability, sometimes an event is more likely to occur than we believe it to. In this case, if you survey a random group of just 23 people there is actually about a 50–50 chance that two of them will have the same birthday. This is known as the birthday paradox.

Detailed explanation-2: -The first person can be born on any day of the year, this means that the probability is 365/365 = 1. The second person has to be born on the same day as the first and there is a 1/365 chance of that happening.

Detailed explanation-3: -The birthday paradox is a veridical paradox: it seems wrong at first glance but is, in fact, true.

Detailed explanation-4: -The first person covers one possible birthday, so the second person has a 364/365 chance of not sharing the same day. We need to multiply the probabilities of the first two people and subtract from one.

There is 1 question to complete.