Help solve problem please

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Step-by-step explanation:

The total number of cards in a deck = 52

The total number of aces in a deck = 4

Since selection is drawn with replacement, then probability of drawing a certiaj number of card from the deck will be the same each time a selection is made :

Probability = required outcome / Total possible outcomes

The required outcome = number of aces = 4

Total possible outcomes = total number of cards = 52

P(drawing an ace) = 4 / 52 = 1 /13

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