Probability of choosing overlapping numbers multiple times in multiple choice scenario
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There are 10 numbers to choose from, 1-10 inclusive, and every choice will be uniformly random without knowledge of the previous choices.
Two individuals are going to choose numbers and I'm trying to understand how to calculate the probability of overlapping choices. The first individual chooses 4 different numbers in one attempt, he can't pick the same number more than once, and the second individual choose only 1 number. This is repeated in 5 rounds. What is the probability that the the second individual chooses a different number from the 4 numbers chosen by the first individual for every round?
Would it make any difference if the first individual only changes his choice every other round e.g. round 1, 3, and 5 while the second individual makes a new choice every round?
probability
asked Nov 18 at 13:37
Jimmy
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up vote
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There are 10 numbers to choose from, 1-10 inclusive, and every choice will be uniformly random without knowledge of the previous choices.
Two individuals are going to choose numbers and I'm trying to understand how to calculate the probability of overlapping choices. The first individual chooses 4 different numbers in one attempt, he can't pick the same number more than once, and the second individual choose only 1 number. This is repeated in 5 rounds. What is the probability that the the second individual chooses a different number from the 4 numbers chosen by the first individual for every round?
Would it make any difference if the first individual only changes his choice every other round e.g. round 1, 3, and 5 while the second individual makes a new choice every round?
probability
asked Nov 18 at 13:37
Jimmy
1013
add a comment |
up vote
0
down vote
favorite
up vote
0
down vote
favorite
There are 10 numbers to choose from, 1-10 inclusive, and every choice will be uniformly random without knowledge of the previous choices.
Two individuals are going to choose numbers and I'm trying to understand how to calculate the probability of overlapping choices. The first individual chooses 4 different numbers in one attempt, he can't pick the same number more than once, and the second individual choose only 1 number. This is repeated in 5 rounds. What is the probability that the the second individual chooses a different number from the 4 numbers chosen by the first individual for every round?
Would it make any difference if the first individual only changes his choice every other round e.g. round 1, 3, and 5 while the second individual makes a new choice every round?
probability
asked Nov 18 at 13:37
Jimmy
1013
There are 10 numbers to choose from, 1-10 inclusive, and every choice will be uniformly random without knowledge of the previous choices.
Two individuals are going to choose numbers and I'm trying to understand how to calculate the probability of overlapping choices. The first individual chooses 4 different numbers in one attempt, he can't pick the same number more than once, and the second individual choose only 1 number. This is repeated in 5 rounds. What is the probability that the the second individual chooses a different number from the 4 numbers chosen by the first individual for every round?
Would it make any difference if the first individual only changes his choice every other round e.g. round 1, 3, and 5 while the second individual makes a new choice every round?
probability
probability
asked Nov 18 at 13:37
Jimmy
1013
asked Nov 18 at 13:37
Jimmy
1013
asked Nov 18 at 13:37
Jimmy
1013
asked Nov 18 at 13:37
Jimmy
1013
asked Nov 18 at 13:37
Jimmy
1013
1013
add a comment |
add a comment |
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