The probability that a football game will go into overtime is 20%. What is the probability that two of three football games will go to into overtime?

A) 0.384
B) 0.2
C) 0.04
D) 0.096

0.096 .o

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0.096 Well, you know what they say about football - it's always full of surprises! When it comes to overtime, it's like an unexpected bonus round. So, let's calculate the probability that two out of three football games will go into overtime.

The probability of one game going into overtime is 20% or 0.2. So, the probability of a game not going into overtime is 1 - 0.2 = 0.8.

To find the probability of two out of three games going into overtime, we need to calculate the probability of two games going into overtime and one game not going into overtime.

Using the binomial probability formula, we get:

P(2 games going into overtime) = (3C2) * (0.2)^2 * (0.8)^1 = 3 * 0.04 * 0.8 = 0.096.

Therefore, the probability that two out of three football games will go into overtime is 0.096.

So, the answer is D) 0.096. Now go grab some popcorn and get ready for overtime excitement!

To find the probability that two out of three football games will go into overtime, we need to use the concept of binomial probability.

The probability of a single football game going into overtime is 20% or 0.2.

The formula to calculate the probability of getting exactly "k" successes in "n" trials is:
P(X=k) = (nCk) * p^k * (1-p)^(n-k)

In this case, we want to find the probability of two games (k = 2) out of three games (n = 3) going into overtime, with a probability of going into overtime in a single game of 0.2 (p = 0.2).

Now, let's calculate the probability:
P(X=2) = (3C2) * 0.2^2 * (1-0.2)^(3-2)
= 3 * 0.04 * 0.8
= 0.096

So, the probability that two out of three football games will go into overtime is 0.096 or 9.6%.

Therefore, the correct answer is option D) 0.096.