Question

What is the probability of flipping a coin 10 times and getting tails 7 times ? Round your answer to the nearest tenth of a percent.

Answer 1

Answer:4.4%

Step-by-step explanation:just took it

Answer 2

Option C: 11.7%

Explanation:

The number of elements in sample space when a coin is flipped 10 times will be:

`n(S) = 2^(10) \\= 1024`

Let A be the event that the tails appear 7 times:

Then,

`C_((n,k))=(n!)/((k!)(n-k)!) \\where\\n=population\\k=picks\\In our case, k =7\\and\\n=10\\C_((10,7))= (10!)/((7!)(10-3)!)\\= 120\\So, \\P(A) = (n(A))/(n(S)) \\P(A) = (120)/(1024) \\= 0.1171\\`

Converting into percentage:

`P(A) = 0.1171*100=11.7%`

So, option C is correct ..