Variation of coupon collector's problem? [closed]
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If I have n coupons to collect and I buy only 2n boxes, how many distinct types of coupons can I expect to have?
probability expected-value coupon-collector
asked Nov 29 '18 at 2:20
Justin DeeJustin Dee
615
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closed as off-topic by max_zorn, José Carlos Santos, Christopher, Davide Giraudo, Rebellos Nov 29 '18 at 12:04
This question appears to be off-topic. The users who voted to close gave this specific reason:
- "This question is missing context or other details: Please improve the question by providing additional context, which ideally includes your thoughts on the problem and any attempts you have made to solve it. This information helps others identify where you have difficulties and helps them write answers appropriate to your experience level." – max_zorn, José Carlos Santos, Christopher, Davide Giraudo, Rebellos
If this question can be reworded to fit the rules in the help center, please edit the question.
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$begingroup$
If I have n coupons to collect and I buy only 2n boxes, how many distinct types of coupons can I expect to have?
probability expected-value coupon-collector
asked Nov 29 '18 at 2:20
Justin DeeJustin Dee
615
$endgroup$
closed as off-topic by max_zorn, José Carlos Santos, Christopher, Davide Giraudo, Rebellos Nov 29 '18 at 12:04
This question appears to be off-topic. The users who voted to close gave this specific reason:
- "This question is missing context or other details: Please improve the question by providing additional context, which ideally includes your thoughts on the problem and any attempts you have made to solve it. This information helps others identify where you have difficulties and helps them write answers appropriate to your experience level." – max_zorn, José Carlos Santos, Christopher, Davide Giraudo, Rebellos
If this question can be reworded to fit the rules in the help center, please edit the question.
add a comment |
$begingroup$
If I have n coupons to collect and I buy only 2n boxes, how many distinct types of coupons can I expect to have?
probability expected-value coupon-collector
asked Nov 29 '18 at 2:20
Justin DeeJustin Dee
615
$endgroup$
If I have n coupons to collect and I buy only 2n boxes, how many distinct types of coupons can I expect to have?
probability expected-value coupon-collector
probability expected-value coupon-collector
asked Nov 29 '18 at 2:20
Justin DeeJustin Dee
615
asked Nov 29 '18 at 2:20
Justin DeeJustin Dee
615
asked Nov 29 '18 at 2:20
Justin DeeJustin Dee
615
asked Nov 29 '18 at 2:20
Justin DeeJustin Dee
615
asked Nov 29 '18 at 2:20
Justin DeeJustin Dee
615
615
closed as off-topic by max_zorn, José Carlos Santos, Christopher, Davide Giraudo, Rebellos Nov 29 '18 at 12:04
This question appears to be off-topic. The users who voted to close gave this specific reason:
- "This question is missing context or other details: Please improve the question by providing additional context, which ideally includes your thoughts on the problem and any attempts you have made to solve it. This information helps others identify where you have difficulties and helps them write answers appropriate to your experience level." – max_zorn, José Carlos Santos, Christopher, Davide Giraudo, Rebellos
If this question can be reworded to fit the rules in the help center, please edit the question.
closed as off-topic by max_zorn, José Carlos Santos, Christopher, Davide Giraudo, Rebellos Nov 29 '18 at 12:04
This question appears to be off-topic. The users who voted to close gave this specific reason:
- "This question is missing context or other details: Please improve the question by providing additional context, which ideally includes your thoughts on the problem and any attempts you have made to solve it. This information helps others identify where you have difficulties and helps them write answers appropriate to your experience level." – max_zorn, José Carlos Santos, Christopher, Davide Giraudo, Rebellos
If this question can be reworded to fit the rules in the help center, please edit the question.
add a comment |
add a comment |
1 Answer
1
active
oldest
votes
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Hint:
For $i=1,dots,n$ let $X_i$ be a random variable whose value is $1$ if coupon $i$ is among the coupons you find and $0$ if it is not. Then you are looking for $E(X_1+X_2+cdots+X_n)$
answered Nov 29 '18 at 3:01
saulspatzsaulspatz
14.7k21329
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add a comment |
1 Answer
1
active
oldest
votes
1 Answer
1
active
oldest
votes
active
oldest
votes
active
oldest
votes
$begingroup$
Hint:
For $i=1,dots,n$ let $X_i$ be a random variable whose value is $1$ if coupon $i$ is among the coupons you find and $0$ if it is not. Then you are looking for $E(X_1+X_2+cdots+X_n)$
answered Nov 29 '18 at 3:01
saulspatzsaulspatz
14.7k21329
$endgroup$
add a comment |
$begingroup$
Hint:
For $i=1,dots,n$ let $X_i$ be a random variable whose value is $1$ if coupon $i$ is among the coupons you find and $0$ if it is not. Then you are looking for $E(X_1+X_2+cdots+X_n)$
answered Nov 29 '18 at 3:01
saulspatzsaulspatz
14.7k21329
$endgroup$
add a comment |
$begingroup$
Hint:
For $i=1,dots,n$ let $X_i$ be a random variable whose value is $1$ if coupon $i$ is among the coupons you find and $0$ if it is not. Then you are looking for $E(X_1+X_2+cdots+X_n)$
answered Nov 29 '18 at 3:01
saulspatzsaulspatz
14.7k21329
$endgroup$
Hint:
For $i=1,dots,n$ let $X_i$ be a random variable whose value is $1$ if coupon $i$ is among the coupons you find and $0$ if it is not. Then you are looking for $E(X_1+X_2+cdots+X_n)$
answered Nov 29 '18 at 3:01
saulspatzsaulspatz
14.7k21329
edited Nov 29 '18 at 16:02
answered Nov 29 '18 at 3:01
saulspatzsaulspatz
14.7k21329
answered Nov 29 '18 at 3:01
saulspatzsaulspatz
14.7k21329
answered Nov 29 '18 at 3:01
saulspatzsaulspatz
14.7k21329
14.7k21329
add a comment |
add a comment |
