Simon flips 8 coins and lays them out in a straight line.
a) How many possible combinations of heads and tails are possible?
b) What is the probability of Simon flipping 8 tails?
Help Me Pleaseeeeee

Respuesta :

Answer:

a) 256

b) 1/256

Step-by-step explanation:

_ _ _ _ _ _ _ _

every position has two possibilities (head or tail)

So,

2×2×2×2×2×2×2×2 = 2⁸ = 256

b) all tails is one of the 256 possible outcomes, so the probability is 1/256

There are total 256 possible combinations of heads and tails are possible and the probability of Simon flipping 8 tails will be 1/256

Probability

  • Probability is the branch of mathematics concerning numerical descriptions of how likely an event is to occur, or how likely it is that a proposition is true.
  • Probability is the extent to which an event is likely to occur, measured by the ratio of the favorable cases to the whole number of cases possible.

How to solve this problem?

The steps are as follow:

  • Simon flips 8 coins and the possible outcome of each coin is either heads or tails i.e. 2
  • Total number possible combinations of heads and tails can be find out as follow:

(Number of possible outcome)^(Total coins are filliped)

(2)⁸ = 2·2·2·2·2·2·2·2 = 256 combinations

  • The probability of Simon flipping 8 tails will be as follow:

Chance Simon flipping 8 tails = 1

P(8 tails) = 1/256

So, there are total 256 possible combinations of heads and tails are possible and the probability of Simon flipping 8 tails will be 1/256

Learn more about probability here:

https://brainly.com/question/251701

#SPJ2