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

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

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`

=
`(1)/(2)   *  (1)/(2)  *  (1)/(2)  = (1)/(2 * 2 * 2 ) = (1)/(8)`

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