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Question
determine whether the scenario involves independent or dependent probability. compound probability p(a)*p(b)=p(a and b). 1) you flip a coin twice. the first flip lands tails - up and the second flip lands heads - up. 2) a bag blue green you r
Step1: Determine probability of first - flip
The probability of getting tails on a single coin - flip is $P(A)=\frac{1}{2}$ since a coin has 2 equally likely outcomes (heads or tails).
Step2: Determine probability of second - flip
The probability of getting heads on a single coin - flip is $P(B)=\frac{1}{2}$ as well.
Step3: Calculate compound probability
Since coin - flips are independent events, we use the formula $P(A)\times P(B)=P(A\ and\ B)$. So $P(A\ and\ B)=\frac{1}{2}\times\frac{1}{2}=\frac{1}{4}$.
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$\frac{1}{4}$