Probability - AMC 10/12 Fundamentals - HW Solutions

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Here is the handout with homework for Class 4:

In this video we discussed the homework solutions related to following topics:
- Probability
- Expected value
- Geometric Probability
- States

We covered the theory and many practice problems for these topics in Class 4, so please make sure to watch that video to understand the topic:

Please make to sure to watch all of these videos which cover the basics of Combinatorics:

[rakshithkarthik]

I am struggling on the homework problems, but I put in at least 10 minutes before I watch the solution. I don't know what to do to increase my problem solving skills. Some advice?

[anirudhkk]

Hey Sohil. For the 3rd question, I got q to be 10/10 * 9/10*2/10*1/10. Assume that number a is chosen first, so 10/10 is the probability of choosing any number as a. Then 9/10 is the probability of choosing b. Then 2/10 is the probability of choosing either a or b. Just out of curiosity why wouldn't this work?

[rakshithkarthik]

Wait, on the first question, why can't 5 be counted on the first draw?

[nathann]

22:04 how is it 3/4 p = 1/4? Thanks in advance

[theprofitpaths]

At 12:45, why is the denominator 2^x?