Question

(Percentage) Leah flips a coin , and then she spins a spinner with 3 equal sections colored red green and blue

Answer 1

Answer:

• 17%

Explanation:

The complete question is:

(Percentage) Leah flips a coin, and then she spins a spinner with 3 equal sections colored red, green, and blue. What is the probability that

• the coin flips heads, and

• the spinner lands on either red or blue?

Enter your answer as a percentage, to the nearest percent.​

Solution

The flips of the coin, heads or tiles, are independent of the sections where the spinner lands, colored red, green or blue.

Then, the joint probability is the product of the probabilities of the separate events.

1. Probability that the coin flips heads:

It is one in two:

• 1/2

2. Probability that the spinner lands on either red or blue

That is two in three:

• 2/3

3. Joint probability

Probability that the coin flips head and the spinner lands on either red or blue is equal to the product of the two independent probabilities

• (1/2) × (1/3) = 1/6

• 1/6 ≈ 0.167

• 0.167 ≈ 16.7% ≈ 17% ← answer