A six-sided die was rolled. Find the probability that a 1 came up, given that an even number turned up. STEP 1: Let T be the event in which a 1 turns up and Q be the event in which an even number turns up. Choose the correct formula. O P(QIT) = P(T) P(T N Q) P(T N Q) P(T) O P(T|Q) = P(T N Q) P(Q) O P(T|Q) = P(T N Q) P(Q) O P(QIT) = P(TN Q) P(T) O P(QIT) = STEP 2: Give the probability given by this formula. P(T|Q) STEP 3: Simplify this probability.

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Chapter1: Combinatorial Analysis
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A six-sided die was rolled. Find the probability that a 1 came up, given that an even number turned up.
STEP 1: Let T be the event in which a 1 turns up and Q be the event in which an even number turns up. Choose the correct formula.
P(T)
P(T N Q)
O P(QIT) =
O P(T|Q)
P(T N Q)
P(T)
P(T N Q)
P(Q)
O P(T|Q) =
O P(QIT) = P(TN Q)
P(Q)
P(T N Q)
P(T)
O P(QIT) =
STEP 2: Give the probability given by this formula.
P(T|Q)
STEP 3: Simplify this probability.
Transcribed Image Text:A six-sided die was rolled. Find the probability that a 1 came up, given that an even number turned up. STEP 1: Let T be the event in which a 1 turns up and Q be the event in which an even number turns up. Choose the correct formula. P(T) P(T N Q) O P(QIT) = O P(T|Q) P(T N Q) P(T) P(T N Q) P(Q) O P(T|Q) = O P(QIT) = P(TN Q) P(Q) P(T N Q) P(T) O P(QIT) = STEP 2: Give the probability given by this formula. P(T|Q) STEP 3: Simplify this probability.
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