recategorized by
241 views
1 1 vote

Consider an urn with $a$ red and $b$ blue balls. Balls are drawn out one-by-one, without replacement and uniformly at random, until the first red ball is drawn. What is the expected total number of balls drawn by this process? (Hint: Consider deriving an appropriate recurrence.)

  1. $\frac{a+b}{a+1}$
  2. $\frac{a+b+1}{a}$
  3. $\frac{a+b}{a}$
  4. $\frac{a+b+1}{a+1}$
  5. $a$

Please log in or register to answer this question.

Answer:
Position:
Show:

Related questions

1 1 vote
0 0 answers
281
281 views
admin asked Nov 30, 2022
281 views
Suppose that $X_{1}$ and $X_{2}$ denote the random outcomes of independent rolls of two dice. Each of the dice takes each of the six values $1,2,3,4,5$, and $6$ with equa...
1 1 vote
0 0 answers
187
187 views
admin asked Nov 30, 2022
187 views
Consider a coin which comes up heads with probability $p$ and tails with probability $1-p$, where $0 < p < 1.$ Suppose we keep tossing the coin until we have seen both si...
1 1 vote
0 0 answers
200
200 views
admin asked Nov 30, 2022
200 views
Let $X$ and $Y$ be independent Gaussian random variables with means $1$ and $2$ and variances $3$ and $4$ respectively. What is the minimum possible value of $\mathbf{E}\...
1 1 vote
0 0 answers
195
195 views
admin asked Nov 30, 2022
195 views
Consider two random variables $X$ and $Y$ which take values in a finite set $S$. Let $p_{X, Y}$ represent their joint probability mass function (p.m.f.) and let $p_{X}$ a...

Add Synced Question

×