# Math mini-contest problem for Day 23 on D.Buzz for February 2021 ๐

in D.Buzz โข 2 months ago

Math Problem for Day 23 ๐

Fang and Manga play Rock-Paper-Scissors with the following details:

Probability of choosingFangManga
Rock32%29%
Paper34%39%
Scissors34%22%

What is the probability of Fang winning a match?

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ย 2 months agoย

My guess is 70.18% . I am a bit lazy so I went for a straight forward answer and work in the next comment.

ย 2 months agoย

P = 1 - Probability of Manga Winning (happens 3 ways)
P = 1 - 0.34(0.29) +0.34(0.22)+.39(.32) = 1 - 0.2982 = 0.7018 = 70.18%

Manga only wins in 3 ways. Any other time it is a draw or a lost such that Fang wins. Therefore the chance of Manga winning is the probability that he picks the winning type against Fang thus my answer.

ย 2 months agoย

30.16%

feel free to ignore my answer, I know I can't fulfil the dbuzz activity criteria atm, but these contents are fun :D

ย 2 months agoย

I got this answer as well. Compute the cases where Fang wins over Manga.

ย 2 months agoย

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ย 2 months agoย

# 30.16% ๐ฏ

## Solution

The probability of Fang winning a match can be obtained by simply adding the chances of winning per pick. A match in which Fang loses or draws shall not be included. Fang's chances of winning per pick are the following:

• 32% chance of choosing Rock which has a 22% chance of winning. Winning using Rock has a 7.04% chance of occurring.
• 34% chance of choosing Paper which has a 29% chance of winning. Winning using Paper has a 9.86% chance of occurring.
• 34% chance of choosing Scissors which has a 39% chance of winning. Winning using Scissors has a 13.26% chance of occurring.

By adding all the chances of winning per pick, Fang has a 30.16% chance of winning a match.

## Winner: none ๐

There was no active D.Buzz member who submitted the correct answer.

Only @minus-pi submitted the correct answer, but they had not been an active member of D.Buzz 14 days before the Day 23 Math Problem was published.

1 HIVE shall be distributed to the previous winners who had been active on D.Buzz in proportion to how many times they won.

### There is no stopping those winners from sending the portion of the 1 HIVE they received to @minus-pi. ๐

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