Hello, ives!

I don't agree with their answer . . .

Aki is a participant on a trivia-based game show. He has an equal likelihood on any

given trial of being asked a question from one of six categories: A, B, C, D, E, or F.

Aki feels that he has an 50% chance of getting an A or B question correct,

but he thinks he has a 90% probability of getting any of the other questions right.

If Aki has to get two of three questions correct, what are hisodds?of winning?

The answer is 43/50 . . . . . This is not odds!

The probability of getting an A or B question is: .

The probability of answering an A or B question correctly is: .

. . Hence, the probability of answering an A or B question correctly is: .

The probability of getting an Other question is: .

The probability of getting an Other question correct is: .

. . Hence, the probability of answering an Other question correctly is: .

So the probability of answering any question correctly is: .

. . The probability of getting it wrong is: .

There are two ways that Aki can win . . .

(1) His first two answers are Right.

. .

(2) He answers the first one wrong, and one of the last two right.

. .

Therefore, hisprobabilityof winning is: .

Hisoddsof winning are approximately