To celebrate the opening of a new store, when a customer gets to the register, they get to spin a prize wheel that is equally divided into 4 parts. Depending on what part the customer lands on, they win either a 10%, 20%, 30%, or 50% discount on their entire purchase. a) What is the probability that the first customer to win a 50% discount is the 5th customer to get to the register?

81 / 1024

Step-by-step explanation:

Given that :

Wheel is divided into 4:

Hence, probability of winning either 10%, 20%, 30% or 50% = 1/4

Probability of winning 50% discount = 1/4

Probability of not winning 50% discount :

1 - 1/4 = (4 - 1) /4 = 3/4

Hence, probability that 50% is won by 5th customer :

(3/4) * (3/4) * (3/4) * (3/4) * (1/4)

= (3/4)^4 * (1/4)

= (81 /256) *(1/4)

= 81 / 1024

A

Explanation:

though an ecosystem can support life forms,when they become over populated or unlimited there will be competition for food,Shelta and other basic necessities which will lead to many of these life forms dying