- #1
WCMU101
- 14
- 0
Doing a bit of study for an interview. Came across this question:
"n unbiased coins. What is the probability that half of them exactly are
heads. Answer the question for n= 2, 3, 20000."
My answers would be:
n = 2: p(1h) = 0.5
n = 3: p(1.5h) = 0
n = 20000: p(10000h) = approx. 0 (close enough to a continuous random variable?)
Do you agree/disagree?
Also just checking another one:
"2 fair dice. What is the probability of both showing six if I have observed
at least one six."
I would say the answer is 1/11 - working: (1*P(2 6's)/(1-P(0 6's))). Is that correct?
Thanks for any advice!
Nick.
"n unbiased coins. What is the probability that half of them exactly are
heads. Answer the question for n= 2, 3, 20000."
My answers would be:
n = 2: p(1h) = 0.5
n = 3: p(1.5h) = 0
n = 20000: p(10000h) = approx. 0 (close enough to a continuous random variable?)
Do you agree/disagree?
Also just checking another one:
"2 fair dice. What is the probability of both showing six if I have observed
at least one six."
I would say the answer is 1/11 - working: (1*P(2 6's)/(1-P(0 6's))). Is that correct?
Thanks for any advice!
Nick.