Question

For the spinner above, the probability of landing on black is 1/2, and the probability of landing on red is 1/3. Suppose it is spun three times. What is the probability it will land on black all three times?
a. 1/16 b. 1/6 c. 1/2 d. 1/8

Answer 1

Answer:

d) The probability spinner will land on black all three times is 1/8

Step-by-step explanation:

The probability of landing on black = 1/2

The probability of landing on red    =  1/3.

Now, if the spinner is spun 3 times.

The probability  it will land on black all three times  

= $\textrm{ (The probability of landing on black)}^3$

= $\frac{1}{2} \times \frac{1}{2} \times \frac{1}{2} = \frac{1}{2 \times 2 \times 2 } = \frac{1}{8}$

Hence, the probability spinner will land on black all three times is 1/8.