1. The probability of dangerous files are rare (1%). The smoke is fairly common (10%) due to barbecues and 90% of dangerous files make smoke. Find the probability of dangerous Fire when there is Smoke.
P(Fire | Smoke) = P(Smoke | Fire)P(Fire) / P(Smoke)
= 1% * 90% / 10% = 0.09
2. Three ants are sitting at the corners of an equilateral triangle. Each ant randomly picks a direction and starts moving along the edge of the triangle. What is the probability that one of the ants collide?
Each ant can go left or right, and there are 8 ways to go. There are two ways when they go in one direction. So the probability is 1/4.
3. What is the probability of drawing two cards (from the same deck of cards) that have the same suite?
4. What is the probability of drawing two cards (from the same deck of cards) that have the same suite?”
5. What is the probability of choosing 2 queens out of a deck of cards?
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