Khan academy business statistics5/10/2023 ![]() ![]() The probability that B, the probability that B given A happens. So obviously this is A and B is happening, or you could do it the other way around. The probability that B happens and that given that B had happened, the probability that A happens. This is equivalent to the probability, probability of A given B. The probability that both A and B are going to happen? Well, the probably ofĪ and B happening. So the best way to tackle this is to just think about, well, what's Pause this video before I work through it. ![]() So how would we think about this? And I encourage you to The conditional probability that Rahul eats pizza for lunch, given that he eats a bagel for breakfast, rounded to the nearest hundredth. What is the probability of B given A? So they want us to figure So the probability, the probability of A given B is equal to 0.7, that's what we wrote right over here. Well actually let's just, before I start going on my little soapboxĪbout dependent events, let's just think about what they actually want us to figure out. The fact that B being true has changed the probability of Aīeing true, this tells us that A and B are dependent. That we're dealing withĭependent probability. Things are not the same, because the probability of A by itself is different than the probability of A given that B is true, this tells us that these two events are not independent. Probability of event A happening, that he eatsĪ bagel for breakfast, given that he's had a pizza for lunch is equal to 0.7, which is interesting. Probability, that he eats a bagel for breakfast given that he eats a pizza for lunch, so The probability of event B, that he eats a pizza for lunch, is 0.5. Will eat a pizza for lunch, probability of event B. So the probability that he eats a bagel for breakfast is 0.6. On a randomly selectedĭay, the probability that Rahul will eat a bagel for breakfast, probability of A, is. Let A represent the event that he eats a bagel for breakfast and let B represent the event that he eats pizza for lunch. Voiceover:Rahul's two favorite foods are bagels and pizza. ![]()
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