Question

An experiment consists of tossing a coin eight times and

observing the sequence of heads and tails. Complete parts ​(a) and
​(b) How many different outcomes have at least six ​heads?

Answer 1

In an experiment of tossing a coin eight times, the number of different outcomes with at least six heads is 37.

Step-by-step explanation:

To find the number of different outcomes that have at least six heads in eight coin tosses, we can use the concept of combinations. In this case, we want to count the number of outcomes with six, seven, or eight heads.

The number of outcomes with six heads is given by C(8, 6) = 28.

The number of outcomes with seven heads is given by C(8, 7) = 8.

The number of outcomes with eight heads is given by C(8, 8) = 1.

Therefore, the total number of different outcomes with at least six heads is 28 + 8 + 1 = 37.