What is the probability of flipping a coin 12 times and getting heads 3 times? Round your answer to the nearest tenth of a percent. O A. 5.4% O B. 12.5% O C. 12.1% O D. 19.3% SUBMIT​

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Explanation:

We use the binomial probability formula here

P(k) = (n C k)*(p)^k*(1-p)^(n-k)

In this case, there are n = 12 trials and p = 0.5 is the probability of getting heads. The value of k = 3 means we want 3 heads.

So,

P(k) = (n C k)*(p)^k*(1-p)^(n-k)

P(3) = (12 C 3)*(0.5)^3*(1-0.5)^(12-3)

P(3) = 220*(0.5)^3*(1-0.5)^(12-3)

P(3) = 0.0537109375

P(3) = 0.054

P(3) = 5.4%

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Side note: the n C k refers to the nCr combination formula

where the exclamation marks mean factorials. You could also use Pascal's Triangle as an alternative for this portion.

$450

step-by-step explanation:

first, you have to multiply 150x2=300

next, you have to add 150+300= 450

y = 2x

step-by-step explanation:

if you divide each number in the sequence, you'll see that they all have a multiple factor of 2. each number in the series, and any other numbers which may continue, will be multiplied by 2. therefore, y is the next number in the sequence, and x is the current one, so, our formula will be y = 2x.