Tuesday

July 29, 2014

July 29, 2014

Posted by **Abhishek Ranjan** on Monday, June 10, 2013 at 1:35am.

- Geometry -
**MathMate**, Monday, June 10, 2013 at 5:21pmIt is a conditional probability problem where the distribution is binomial.

The general expression for conditional probability for probability of event A given event B is

P(A|B)=P(A∩B)/P(B)

where A = P(exactly 2 heads)

B=P(at least one head)

P(A∩B)=P(A) since A is a subset of B.

Assuming a fair coin, p=1/2, q=1-1/2=1/2

P(A∩B)

=P(A)=P(exactly 2 heads)

=3C2 p^2 q^1

=3*(1/2)^2 (1/2)

=3/8

P(B)=P(at least one heads)

=1-P(no heads)

=1- 3C0 (1/2)^0 (1/2)^3

=1- 1/8

=7/8

So

P(A|B)

=P(exactly two heads | at least one heads)

=(3/8) / (7/8)

=3/7

- Geometry -
**Abhishek Ranjan**, Thursday, June 13, 2013 at 1:45am10

**Related Questions**

math - A fair coin is flipped 3 times. The probability of getting exactly two ...

math - A fair coin is flipped 3 times. The probability of getting exactly two ...

math - A fair coin is flipped 3 times. The probability of getting exactly two ...

Math - Would you be more likely to get at least 70% tails if you flip a fair ...

maths - Suppose there are 10 coins laid out in front of you. All of the coins ...

statistics - you and 50 coworkers decide to play a game that consists of ...

Math - 10. A coin is loaded so that the probability of heads is 0.55 and the ...

probability - You flip a fair coin (i.e., the probability of obtaining Heads is ...

Statistics - suppose you flip a fair coin five times. which of these pairs of ...

math - mike claims that the probability of winning a pick 6 number game where ...