Thursday

April 24, 2014

April 24, 2014

Posted by **Preet** on Saturday, July 21, 2012 at 11:03pm.

1) The coin shows a head

2) The coin is regular, give that the toss produced a head

3) The coin is regular, given that the toss produced a tail

- Finite Math -
**MathMate**, Sunday, July 22, 2012 at 7:16am1. Probability of showing a head:

Coins are chosen at random, so each coin has a probability of (1/3) of being selected.

probability for a head:

fair coin: (1/3)(1/2)=1/6

two heads: (1/3)(1)=1/3

unbalanced: (1/3)(0.6)=1/5

Add up the three probabilities to get 7/10.

Conditional probabilty:

For events A and B, P(A|B) stands for probability of A happening given that B is true. In numerical terms,

P(A|B)=P(A∩B)/P(B)

2. Let

A=coin is regular

B=produced a head

P(A|B)=P(A∩B)/P(B)

P(A∩B)=[(1/3)(1/2)]=1/6 as calculated above

P(B)=7/10 as calculated above

P(A|B)=(1/6)/(7/10)

=5/21

3. similar to (2), left as exercise for you.

**Related Questions**

algebra - How many coins When i dumped the change out of my pocket, I noticed ...

math - Gary has 10 coins in his pocket. 2 quarters 5 dimes 3 nickels without ...

Math - In Lloyd's pocket are 6 coins: 3 dimes, 2 nickels, and 1 penny. If Lloyd ...

English - 1. The judge slowly took out three gold coins from his pocket. 2. The ...

English - 1. The judge slowly took out three gold coins from his pocket. 2. The ...

Math - Hi, Can someone help me with this problem? Thank you. Problem: A driver ...

math - Clayton has three fair coins. Find the probablitlity that he gets two ...

calculus - I have an even number of coins in my pcket exactly one third of them ...

math - Can this be solved? Jenny has 11 coins in her pocket, all of which are ...

math - eva has 4 quarters, 5 dimes, and 6 nickels in her pocket. She takes out 2...