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

For the spinner above the probability of landing on black is 12 and the probability of landing on red is 13 Suppose it is spun three times What is the probabili class=

Respuesta :

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  

= [tex]\textrm{ (The probability of landing on black)}^3[/tex]

= [tex]\frac{1}{2}   \times  \frac{1}{2}  \times  \frac{1}{2}  = \frac{1}{2 \times 2 \times 2 } = \frac{1}{8}[/tex]

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