If you were to flip a coin 10 times, what is the probability that it will land on heads exactly 7 out of 10 times? Pls show work.

The probability of flipping a coin 10 times and it landing on heads exactly seven times is about 0.1172 or 11.72%.

Step-by-step explanation:

We can use basic binomial distribution, which is given by the formula:

Where n represent the number of trials, x represent the number of successes desired, p represent the chance of success, and q represent the chance of failure.

Since we are flipping a coin 10 times, we are conducting 10 trials. So, n = 10.

We want to probability that it lands on heads exactly 7 out of 10 times. So, the number of desired successes x is 7.

The probability of success p is 1/2.

And the probability of failure q is also 1/2.

Substituting:

The probability of flipping a coin 10 times and it landing on heads exactly seven times is about 0.1172 or 11.72%.

hey there!

if she's saving for six months, let's divide the total number we need for the trip by six, dividing it into the amount that needs to be saved for each month.

500 ÷ 6 =

she needs to save at least this amount each month, so we should use this symbol: ≥

let x be the amount she saves each month.

your final answer is x ≥

hope this !

x/3-10=8

x/3=18

x=48