×

# A challenge!

Let's do a multinomial experiment i.e. there are $$m$$ no. of possibilities on each trial and we do $$n$$ number of trials.

Moreover, the probability of getting a particular possibility at $$i$$th trial also varies, each differently, like $$a_k(i), 1 \le k \le m$$

What is the expected number of times of getting a particular possibility (let's say the one with index 1)?

Note by Kartik Sharma
11 months, 1 week ago

MarkdownAppears as
*italics* or _italics_ italics
**bold** or __bold__ bold

- bulleted
- list

• bulleted
• list

1. numbered
2. list

1. numbered
2. list
Note: you must add a full line of space before and after lists for them to show up correctly
paragraph 1

paragraph 2

paragraph 1

paragraph 2

> This is a quote
This is a quote
# I indented these lines
# 4 spaces, and now they show
# up as a code block.

print "hello world"
# I indented these lines
# 4 spaces, and now they show
# up as a code block.

print "hello world"
MathAppears as
Remember to wrap math in $$...$$ or $...$ to ensure proper formatting.
2 \times 3 $$2 \times 3$$
2^{34} $$2^{34}$$
a_{i-1} $$a_{i-1}$$
\frac{2}{3} $$\frac{2}{3}$$
\sqrt{2} $$\sqrt{2}$$
\sum_{i=1}^3 $$\sum_{i=1}^3$$
\sin \theta $$\sin \theta$$
\boxed{123} $$\boxed{123}$$

Sort by:

The answer is $$\displaystyle \sum_{i=1}^n {a_k(i)}$$ for the $$k$$th possibility.

- 11 months, 1 week ago