What are the chances?

If you choose the answer to this question at random, what is the probability that it will be correct?

a) $25$ %

b) $50$ %

c) $0$ %

d) $25$ %

Good Luck. :)

#Combinatorics #Probability #JustForFun #MathJoke

This discussion board is a place to discuss our Daily Challenges and the math and science related to those challenges. Explanations are more than just a solution — they should explain the steps and thinking strategies that you used to obtain the solution. Comments should further the discussion of math and science.

When posting on Brilliant:

Use the emojis to react to an explanation, whether you're congratulating a job well done , or just really confused .
Ask specific questions about the challenge or the steps in somebody's explanation. Well-posed questions can add a lot to the discussion, but posting "I don't understand!" doesn't help anyone.
Try to contribute something new to the discussion, whether it is an extension, generalization or other idea related to the challenge.
Stay on topic — we're all here to learn more about math and science, not to hear about your favorite get-rich-quick scheme or current world events.

Markdown	Appears as
`italics` or `_italics_`	italics
`bold` or `__bold__`	bold
- bulleted - list	bulleted list
1. numbered 2. list	numbered 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
`[example link](https://brilliant.org)`	example link
`> 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"

Math	Appears 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}`	$\boxed{123}$

Comments

25%

Ashish Sharma - 7 years ago

Why 25% ?

Muzaffar Ahmed - 7 years ago

50%

Anudeep Saketh - 7 years ago

Why 50% ?

Muzaffar Ahmed - 7 years ago

25 % . Because there are four options each contributing 25 %

santosh kumar - 7 years ago

Not so simple, man, not so simple

Muzaffar Ahmed - 7 years ago

pray tell us the answer!!!!!!!!!

Mayank Holmes - 7 years ago

@Mayank Holmes – I guess these sort of questions are good for discussions rather for finding answers. For any answer there is a contradictory statement ......:) how about considering both 25% into single unit and the remaining 0 and 50 we get one more combination 1/3*100

santosh kumar - 7 years ago

@Santosh Kumar – They are not one unit.. They are different options and the question is about choosing one option randomly...

Muzaffar Ahmed - 7 years ago

25%

Karthik Akondi - 6 years, 7 months ago

0% is the correct answer .............. if it would have been 25% then if we chose randomly, there are 2 choices out of a total of four , that seem optimal ( i.e. option(a and (d ) so that would mean that the probability would be equal to 50 % ........ Contradictory! if it would have been 50% , then it would have meant that only one choice out of the four is correct i.e. 25%... this answer is also contradictory to itself.......... if it would have been 0% then again it would imply that one choice out of the four is correct i.e. 25% ...... hence it seems that none of the option is correct ......... that leads us to the answer 0% , and hence this answer is not in contrary to itself!!!!!!!

Mayank Holmes - 7 years ago

If 0% is correct, then it is one of the four options, which would give you 25% probability again.

Muzaffar Ahmed - 7 years ago

Agree. Can't be zero percent.If one of the options is correct and the user selects it randomly it definitely will have a probability. I will still stick to 25% . because among 4 options only one is correct and the probability for that becomes 25%(1/4 multiloed by 100)

santosh kumar - 7 years ago

@Santosh Kumar – There are 2 instances of the option 25%, so if 25% is correct, you will have $\frac{2}{4} \times 100 = 50$ % probability.

Muzaffar Ahmed - 7 years ago

@Muzaffar Ahmed – Oop missed it didn't notice 25 repeating again

santosh kumar - 7 years ago

50%

rishabh singhal - 7 years ago

Math	Appears 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}`	$\boxed{123}$