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

Question

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?

in progress 0
Thanh Hà 5 years 2021-08-26T03:33:27+00:00 1 Answers 9 views 0

Answers ( )

  1. Thunguyet
    0
    2021-08-26T03:35:01+00:00
    Reply

    Answer:

    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

Leave an answer

Browse

Giải phương trình 1 ẩn: x + 2 - 2(x + 1) = -x . Hỏi x = ? ( )