How many times must a man toss a fair coin so that the probability of having at least one head is more than 90%?

0 votes
56 views
asked Jan 27, 2018 in Mathematics by sforrest072 (157,439 points) 63 448 1250

How many times must a man toss a fair coin so that the probability of having at least one head is more than 90%?

1 Answer

0 votes
answered Jan 27, 2018 by mdsamim (213,225 points) 5 10 21
edited Mar 7, 2018 by faiz
 
Best answer

Let the man toss the coin n times. The n tosses are n Bernoulli trials. 

Probability (p) of getting a head at the toss of a coin is ½ .

The minimum value of n that satisfies the given inequality is 4. 

Thus, the man should toss the coin 4 or more than 4 times.

Welcome to Sarthaks eConnect: A unique platform where students can interact with teachers/experts/students to get solutions to their queries. Students (upto class 10+2) preparing for All Government Exams, CBSE Board Exam, ICSE Board Exam, State Board Exam, JEE (Mains+Advance) and NEET can ask questions from any subject and get quick answers by subject teachers/ experts/mentors/students.

One Thought Forever

“There is a close connection between getting up in the world and getting up in the morning.“
– Anon
~~~*****~~~

...