Question

Before attending a business meeting, Mr. Campbell is not shure whether he would sign a big contract being proposed by the other company. The opportunity is attractive but the risk is high, too. Still doubtful at the last moment, he resorts to his way of flipping a coin to decide. Mr. Campbell will flip a fair coin 4 times. If the heads never comes up 2 times in a row, he will quit. What is the probability that Mr. Campbell will decline signing the business contract? A. 1/2 B. 1/4 C. 3/8 D. 7/16

Answer 1

Given:

Mr. Campbell will flip a fair coin 4 times.

So, the total results = 2⁴ = 16

We will find the probability of heads coming up 2 times in a row:

We will use the tree method to find the number of heads coming up 2 times in a row, Let head (H) and tail (T)

So, the tree figure will be as shown in the following figure:

As we can see the red ellipses is the number of time comes 2 heads in a row

The number = 7

so, the probability that Mr. Campbell will decline signing the business contract = 7/16

The answer will be option D. 7/16