You buy three tickets to play the "Mega Big Time Jackpot" in which the prize is $200,000. The chance any ticket wins is 1 out of

Question

2 years ago

14

You buy three tickets to play the "Mega Big Time Jackpot" in which the prize is $200,000. The chance any ticket wins is 1 out of

614,679 and is independent of any other ticket winning, what is the chance you lose all three times? Round to two decimal places.
a. 0.95
b. 1.00
c. 0.99d. 0.00

Mathematics

1 answer:

Licemer1 [7] · Answer 1 · 2022-05-25T16:58:52+03:00

Answer: b. 1.00

Step-by-step explanation:

Given : Total tickets = 614,679

Winning ticket = 1

Number of tickets that not winning ticket= 614,679- 1 =614,678

Since , each ticket is independent of the other.

Number of tickets you bought = 3

Then, the probability that you lose all three times will be :

$(\dfrac{614678}{614679})^3=0.9999\approx1.00$

Hence, the the chance you lose all three times = 1.00

Thus , the correct answer is b. 1.00 .