# DIFFICULT PROBLEMS ON PROBABILITY

## About the topic "Difficult problems on probability"

"Difficult problems on probability" is the topic in which students like to know how some difficult problems in probability to be answered.

Even though students can get this stuff on internet, they do not understand exactly what has been explained.

To make the students to understand to solve difficult problems in  probability, we have explained the above mentioned stuff step by step.

Let us see, how difficult problems on probability can be answered.

Problem 1 :

A strabismus surgery has a probability of 0.9 of success in the first attempt and a probability of 0.98 of success in the second attempt. Use the techniques of tree diagrams to find the probability that the surgery will be successful within two attempts. (round four digits after the decimal)

Solution :

When we go through the question, we have to carefully look at the term "within two attempts".

We are going to get answer for our question from this term.

"Within two attempts" means "less than two attempts".

That is, no. of attempts allowed for success = 0, 1

We can not get success in 0 attempts. (That is, without any attempt, it is impossible to have success)

To satisfy the condition "within two attempts", possible no. of attempts can be made to get success = 1

From the the above tree diagram, it is very clear that the probability for success in the first attempt is 0.9.

Hence, probability that the surgery will be successful within two attempts = 0.9

More questions will be updated soon

Math Quotes:

Without mathematics, there's nothing you can do. Everything around you is mathematics. Everything around you is numbers.

- Shakuntala Devi

Mathematics as an expression of the human mind reflects the active will, the contemplative reason, and the desire for aesthetic perfection. Its basic elements are logic and intuition, analysis and construction, generality and individuality.

-  Richard Courant

All science requires mathematics. The knowledge of mathematical things is almost innate in us. This is the easiest of sciences, a fact which is obvious in that no one's brain rejects it; for laymen and people who are utterly illiterate know how to count and reckon.

- Roger Bacon

Many of our young people spend four years getting very expensive college degrees. But our universities fail them and the nation if they continue to graduate students with expertise in biochemistry, mathematics or history without teaching them to think about what problems are important and why.

- Heather Wilson