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A bicycle lock requires a two-digit code of numbers 1 through 9, and any digit may be used only once. Which
expression would determine the probability that both digits are even?

Respuesta :

rhishi2007

Answer:

16/81

Step-by-step explanation:

the probability that they are both even is the probability that the first is even then multiplied by the probability that the second is even:

Formula is:

P(A and B) = P(A) * P(B)

the P(something) is probability of something

so

 1 digit: P(even) = 4 possibilities (2,4,6,8) out of 9 total (1,2,3,4,5,6,7,8,9) = 4/9

 2 digit:P(even) = 4 possibilities (2,4,6,8) out of 9 total (1,2,3,4,5,6,7,8,9) = 4/9

which is 4/9 * 4/9 =16/81