the formula to find the probability is p(a ∩ b)=p(b | a)p(a) and p(a ∩ b) = .
total numbers in the hat = 30
let a be the event of picking number 1 and b be the event of picking number 2 then without replacement.
clearly, the probability of the second event depends on the first event.
so, p(a ∩ b)=p(b | a)p(a)
p(b | a) means probability of event b with the condition that event a has happened.
so, the first number picked is 1.
therefore, p(b | a) =
p(a ∩ b)=
answer: she can buy 5 goldfish.
step-by-step explanation: if you divide the amount of money she has to spend by the cost of the goldfish;
$11/5 = 5.5
since she can’t buy 5 and a half goldfish, she can only buy 5.