Question

Suppose you toss a coin 7 times. Each time, you record if it lands on H or T. You keep track of all 7 tosses as an ordered list (toss1, toss2, toss3, toss4, toss5, toss6, toss7). How many outcomes are in the sample space?

A) 16
B) 32
C) 64
D) 128

Answer 1

D) 128

Explanation:

To find how many possible outcomes there are, we can use the equation
`x^(y)`, in which x represents how many possible outcomes there are for the object, in this case, the coin. The coin can only have two outcomes, heads, and tails, so we can replace the value of x with 2.

Y represents how many times we repeat this process. In this case, we repeat it 7 times.

`2^(7)`

Now we have this equation we can solve.

The value of 2 to the seventh power is 128.