John, Yenni, Peter and Amber have a total of 1026 marbles. If Yenni gives away 60 of her marbles, she will have 1/4 of the marbles John has. If Peter buys another 150 marbles, he will have 1/2 the number of marbles John has. If Amber doubles what she has, she will have the same number of marbles as John. How many marbles did Yenni have? I will mark it as brainliest

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85.560%

step-by-step explanation:

conditional probability is defined as:

p(a|b) = p(a∩b) / p(b)

in other words, the probability that a occurs, given that b has occurred = the probability that both a and b occur / the probability that b occurs.

in this example:

p(turns 64 | turns 44) = p(turns 64 & turns 44) / p(turns 44).

if someone turns 64, they must have already turned 44, so:

p(turns 64 | turns 44) = p(turns 64) / p(turns 44)

on page 42, we see that of the original 100,000, 94944 turn 44, and 81234 turn 64.   therefore:

p(turns 64 | turns 44) = 81234 / 94944

p(turns 64 | turns 44) = 0.85560

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step-by-step explanation: