P(blue, orange, white)

Probability theory and statistics

P(blue, orange, white)

Postby nycmath » Thu Sep 10, 2026 10:44 am

A gum ball machine contains gum balls of five different colors: 36 red, 44 white, 15 blue, 20 green, and 5 orange. The machine dispenser randomly selects one gum ball. What is the probability that the gum ball selected is blue followed by orange followed by white?
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Re: P(blue, orange, white)

Postby Eigenvalue » Thu Sep 10, 2026 6:20 pm

Part A:
Attachments
IMG_20260910_172028~2.jpg
IMG_20260910_172028~2.jpg (677.17 KiB) Viewed 25 times

Eigenvalue
 
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Re: P(blue, orange, white)

Postby Eigenvalue » Thu Sep 10, 2026 6:40 pm

Parts B-E:
Attachments
IMG_20260910_173927~2.jpg
IMG_20260910_173927~2.jpg (887.7 KiB) Viewed 25 times

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Re: P(blue, orange, white)

Postby Eigenvalue » Thu Sep 10, 2026 6:45 pm

Sidenote:
Attachments
IMG_20260910_174507~2.jpg
IMG_20260910_174507~2.jpg (326.16 KiB) Viewed 25 times

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Re: P(blue, orange, white)

Postby Eigenvalue » Thu Sep 10, 2026 10:05 pm

B-E, reposted (there was a minor arithmetic error for both B and E):
Attachments
IMG_20260910_210421~2.jpg
IMG_20260910_210421~2.jpg (1.06 MiB) Viewed 18 times

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Re: P(blue, orange, white)

Postby Eigenvalue » Thu Sep 10, 2026 10:06 pm

Parts F-L:
Attachments
IMG_20260910_210553~2.jpg
IMG_20260910_210553~2.jpg (1.1 MiB) Viewed 18 times
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Re: P(blue, orange, white)

Postby Eigenvalue » Thu Sep 10, 2026 10:08 pm

Parts M-Q:
Attachments
IMG_20260910_210728~2.jpg
IMG_20260910_210728~2.jpg (1.04 MiB) Viewed 18 times

Eigenvalue
 
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Re: P(blue, orange, white)

Postby Eigenvalue » Thu Sep 10, 2026 10:09 pm

Part R:
Attachments
IMG_20260910_210849~2.jpg
IMG_20260910_210849~2.jpg (211.49 KiB) Viewed 17 times

Eigenvalue
 
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Re: P(blue, orange, white)

Postby Eigenvalue » Thu Sep 10, 2026 10:10 pm

Parts S-Y:
Attachments
IMG_20260910_210950~2.jpg
IMG_20260910_210950~2.jpg (1.18 MiB) Viewed 17 times

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Re: P(blue, orange, white)

Postby nycmath » Thu Sep 10, 2026 10:14 pm

@ Eigenvalue:

Leave some for others to do. Don't burn yourself out. It's not worth it.

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