Peter wants to flip a fair coin 8 times. He wants to know the probability of getting 3 heads. What is the value of P?

7/32

Step-by-step explanation:

Combinators. Your best friend in this scenario.

Basically, using combinations helps you to find the different ways that you could get heads three times out of eight. To do that, just get 8!/(3!5!) (this is a formula, not the exact numbers, per say, you should check that out), which ends up as 56. So there's 56 different ways that Peter can flip a coin eight times and land on heads three times.

Then, you divide that by the total number of possibilities, which in this case is 2^8, since every coin you flip gives you two different options, heads or tails.

Simplifying the fraction gets you 7/32.

7/32

Step-by-step explanation:

the probability of getting exactly 3 heads when a coin is flipped 8 times in a row is: 7/32.

step-by-step explanation:

the first 5 right here the next 5 i will upload as separate question