math

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.


asked by Angela

Respond to this Question

First Name

Your Answer

Similar Questions

  1. math

    Students at Euler Middle School are talking about ways to raise money for a school party. One student suggests a game called Heads or Tails. In this game, a player pays 50 cents and chooses heads or tails. The player then tosses a
  2. math

    A game consists of tossing a coin and rolling an ordinary die. If the player tosses a head and rolls an even number, the player wins $3. Otherwise, the player loses $1. What is the expected value of this game? Select one: a. $6 b.
  3. Math

    A game is played using one dice. If the dice is rolled and shows 1, the player wins $1; if it shows 2, the player wins $2; if it shows a 3, the player wins $3. If the die shows 4,5,or 6 the player wins nothing. a.) If there is a
  4. Statistics

    In a game of dice, the probability of rolling a 12 is 1/36. The probability of rolling a 9, 10, or 11 is 9/36. The probability of rolling any other number is 26/36. If the player rolls a 12, the player wins $5. If the player rolls
  5. statistics

    In a game of dice, the probability of rolling a 12 is 1/36. The probability of rolling a 9, 10, or 11 is 9/36. The probability of rolling any other number is 26/36. If the player rolls a 12, the player wins $5. If the player rolls
  6. Statistics

    For a math assignment we need to design a dice roll game with different expected values of winning. The game should require a player to make a bet on the sum of one roll of two dice. If the dice sum to that number, the player
  7. Math- Alg 2

    Help finding probability involving combinations? What is the probability of winning in this game ( Show calculation and all works) - The board is a number ranging from 1 - 12 - Player place a coin in the desire number 1,2,3,4 etc.
  8. math

    to play the nickel game a player tosses two coins at the same time if both coins land tails then the player wins $1 if both coins land heads up then they win $2 suppose you play this game 12 times and it costs $1 to play how much
  9. Math

    How do you solve: n is 2 given that it is even The directions say "let n be a randomly selected integer from 1-20. Find the indicated probability" 1. A tennis player wins a math 55% of the time when she serves first and 47% of the
  10. Math

    1. A tennis player wins a math 55% of the time when she serves first and 47% of the time when her opponent serves first. The player who serves first is determined by a coin toss before the match. What is the probability that the

More Similar Questions