Question

Via the same learning team as in Unit One, discuss examples of probability theory selected from your job or life (or roll dice), and share your results in a discussion post.

Answer 1

from life :

Ques: Amanta has two kids and one of them is a girl . What is the probability that the other child is also a girl?

Ans: The outcomes for two kids can be {BB, BG, GB, GG}

since here it is clearly mentioned that one of them is a girl the BB( boy boy ) option we have to exclude . then there can be 3 options . Hence the probability will be 1/3.

In this way we used to how use it in real life.

Another example

Ques: A fair six-sided die is rolled twice. Write the probability of getting 4 on the first roll and not getting 6 on the second roll?

ANS: As it is clearly mentioned that the die is rolled twice hence the two events become independent. i.e. the rolling of other die does not depend on the first one.

nor P( getting first 4)=1/6

P( getting 6)=5/6

therefore probability of getting first 4 and then 6 = 1/6*5/6=5/36.

Ques: We throw a die 6 times. What is the probability of getting all outcomes different?

For this when we roll the die for the very first time we have 6 different outcomes and then when we roll the die second time we have 5 different options on third throw we have 4 different options and we proceed like this .

hence the probability if unique outcome is 0.01543.