Contestants on a game show spin a wheel with 242424 equally-sized segments. Most of those segments show different prize amounts,

Question

2 years ago

6

Contestants on a game show spin a wheel with 242424 equally-sized segments. Most of those segments show different prize amounts,

but 222 of them are labeled "bankrupt":Suppose that a contestant is going to spin the wheel twice in a row, and the outcome of one spin doesn't affect the outcome of future spins. What is the probability that NEITHER of the spins land on "bankrupt"?

Mathematics

1 answer:

ycow [4] · Answer 1 · 2023-04-09T23:49:02+03:00

Using the principle of probability, the probability that the outcome of both spins does not land on "bankrupt" is 1/144

Given the Parameters :

Total Number of possible outcomes = 24
Number of outcomes labeled bankrupt = 2
Labels which aren't labeled bankrupt = 24 - 2 = 22

Recall :

P(A) = required outcome / Total possible outcomes

First spin :

P(not bankrupt) = 2 / 24 = 1/12

Second spin :

P(not bankrupt) = 2/24 = 1/12

P(neither lands on bankrupt) = 1/12 × 1/12 = 1/144

Therefore, the probability that neither lands on bankrupt is 1/144

Learn more : brainly.com/question/18405415