Conditional Probability

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By Tomas Chlebecek

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Transcript of Conditional Probability

Page 1: Conditional Probability

By Tomas Chlebecek

Page 2: Conditional Probability

You select a card form a standard deck of 52 cards. Find the probability that the card is a 4 or an ace.

If the card is a 4, it cannot be an ace.

Use the Addition Rule to find the probability!

Page 3: Conditional Probability

P(a or b) = P(a) + P (b) – P(a and b) If the events are mutually exclusive you may

simplify the rule into…P(a or b) = P(a) + P(b)

P(4 or Ace) = P(4) + P(Ace) = 4/52 + 4/52 = 8/52 = 2/13 = 0.154

Page 4: Conditional Probability

As you can see…the Addition Rule helped me find the answer by adding the two Fractional Integers then simplifying the sum!

The probability that the card drawn is either a 4 or an Ace is 0.154 !!! Or 15.4%