Posted by **Angela** on Wednesday, May 30, 2007 at 6:18pm.

In a game, a player tosses a coin 4 times. If the player gets 3 or 4 heads, he/she wins. What is the theoretical probability of winning this game?

I just need to know the outcomes. I don't know how to get them.

Please and Thank you.

Coin 1: 50% Heads

Coin 2: 50% Heads

Coin 3: 50% Heads

Coin 4: Irrelevent, because only 3 are needed.

50% x 50% x 50% = 12.5%

12.5%

When you want to know the probability of all events occurring,

*multiply* the probability of the individual events.

When you want to know the probability of either one event or another occurring,

*add* the individual probabilities.

Probability of 3 heads is 1/2*1/2*1/2. Since the probability of the remaining toss can be either heads or tails, its proability is 1/2+1/2=1, so this has no effect on the multiplication. Probability of 3 heads = 1/8

Probability of 4 heads is 1/2*1/2*1/2*1/2 = 1/16.

The probability of getting either 3 heads or 4 heads is found by adding the two probabilities.

1/8 + 1/16 = 2/16 + 1/16 = 3/16 = 18.75%

I hope this helps a little more. Thanks for asking.

## Answer this Question

## Related Questions

- math - Students at Euler Middle School are talking about ways to raise money for...
- math - A game consists of tossing a coin and rolling an ordinary die. If the ...
- Math- Alg 2 - Help finding probability involving combinations? What is the ...
- Algebra 2 - Game Theory: Consider a game in which each of two people ...
- math-i have another question - Player A and B invented a new game. The ...
- Math - 1. A tennis player wins a math 55% of the time when she serves first and ...
- Math - How do you solve: n is 2 given that it is even The directions say "let n ...
- Math/Probability - Anna and bob play a game in which Anna begins by rolling a ...
- statistics - A player pays a $1 to play a game. With probability 0.001 the ...
- Statistics - For a math assignment we need to design a dice roll game with ...

More Related Questions