From the course: Statistics Foundations 2: Probability

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Conditional probabilities

Conditional probabilities - Microsoft Excel Tutorial

From the course: Statistics Foundations 2: Probability

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Conditional probabilities

- Imagine that our office has six workers. Pretend their names are A, B, C, X, Y, Z. Each name is on one of six cards in this bowl. Two cards will be picked at the same time. Those two people will win a $100 gift card. What are the odds that both X and Y will be the winners? Well, we can find that there are 15 combinations of two winners from a group of six people using our combinations formula, but only one of those combinations would result in X and Y as winners, so the probability that both X and Y will win together is one in 15, or 6.67%. In this case, we picked two cards at once. What happens when we pick one card at a time? How do probabilities change as the conditions change? For example, we pick the first card, and it has the name C. Now what are the odds that X and Y will be the two names chosen? Well, since we are only picking two winners, and one of them is C, it's impossible for both X and Y to be the two…

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