We chose a number from the set {1,2,3,..., 100} uniformly at random and denote this number by X. For each of the following choices decide whether the two events in question are independent or not. (a) A = {X is even}, B = {X is divisible by 5} (b) C = {X has two digits}, D = {X is divisible by 3} (c) E = {X is prime}, F = {X has a digit 5}. Note that 1 is not considered a prime number.
We chose a number from the set {1,2,3,..., 100} uniformly at random and denote this number by X. For each of the following choices decide whether the two events in question are independent or not. (a) A = {X is even}, B = {X is divisible by 5} (b) C = {X has two digits}, D = {X is divisible by 3} (c) E = {X is prime}, F = {X has a digit 5}. Note that 1 is not considered a prime number.
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Transcribed Image Text:We chose a number from the set {1,2,3,..., 100} uniformly at random and denote
this number by X. For each of the following choices decide whether the two events in question
are independent or not.
(a) A = {X is even}, B = {X is divisible by 5}
(b) C = {X has two digits}, D = {X is divisible by 3}
(c) E = {X is prime}, F = {X has a digit 5}. Note that 1 is not considered a prime number.
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