Question

John flips 10 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 John flipping 10 tails (as a fraction).

Answer 1

For every coin, two options are possible. The formula for calculting all possibilities is $p^{t}$ where p is possibilities per time and t is times.

Therefore, there are $2^{10}$ which is 1024 combinations.

The formula for calculating probability is $\frac{w}{t}$ where w is the ways to achieve the desired outcome, and t is the total outcomes possible.

Therefore, there is a $\frac{1}{1024}$ chance of flipping ten tails.

Answer 2

There are 1024 combinations possible for heads and tails and the probability of John flipping 10 tails is 1/1024.

What is the probability?

Probability refers to a possibility that deals with the occurrence of random events. The probability of all the events occurring need to be 1.

The formula of probability is defined as the ratio of a number of favorable outcomes to the total number of outcomes.

P(E) = Number of favorable outcomes / total number of outcomes

For every coin, two options are possible.

The formula for calculating all possibilities is p^t

where p is possibilities per time and t times.

Thus, there are which is 1024 combinations.

The formula for calculating probability is w/t

where w is the ways to get the desired outcome, and t is the total outcomes possible.

Therefore, there is a 1/1024  chance of flipping ten tails.

Learn more about probability here;

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