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? ansewrs

since the events are independent,

p = (1/2)(1/2)(1/2)

(1/8)

To find the probability of landing on black all three times, we multiply the individual probabilities of landing on black for each spin. Given that the probability of landing on black is 1/2 for each spin, the probability of landing on black all three times is:

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

So, the probability it will land on black all three times is 1/8.

To find the probability of landing on black all three times, we need to multiply the probabilities of each spin.

Given that the probability of landing on black is 1/2 for each individual spin, the probability of landing on black three times in a row is calculated as follows:

P(Black all three times) = P(Black on 1st spin) * P(Black on 2nd spin) * P(Black on 3rd spin)

Substituting the given probability into the equation, we get:

P(Black all three times) = 1/2 * 1/2 * 1/2

Simplifying the expression, we find:

P(Black all three times) = 1/8

Hence, the probability of landing on black all three times is 1/8.