Getting exactly two scores in six attempts, well it's going to be any one of these probabilities times the number of ways you can get two scores in six attempts. Order that you're multiplying, this is going to be 0.7 squared times 0.3 to the fourth power, so for any one of these particular ways to get exactly two scores in six attempts, the probability is going to be this. Of making the fourth, times a 30% chance for each of the next two misses if you wanted the exact circumstance, this is once again going to be 0.7 and if you just rearrange the Missing the first one, a 70% chance of making the second one, and then times 0.3, a 30%Ĭhance of missing the third, times a 70 percent chance This is going to be 0.3 times 0.7 you have a 30% chance of Going to be exactly this, it's just we're multiplying Of this happening? Well, you'll see, it's Two scores in six attempts, and what's the probability Make the fourth attempt, and then you miss the next two. Second attempt, you score, then you miss the third attempt, and let's just say you For example, maybe you miss theįirst one, the first attempt and then you make the
Get two scores in six attempts? No, there's many ways of getting This is going to be 0.7 squared times 0.3 to the one, two, three, fourth- to the fourth power. This going to be equal to? Well, this is going to be equal to. The multiplication symbols confused with the decimals, I'm trying to write them a little bit higher. This exact circumstance is going to be what I am writing down. Of scoring on the second one, and then you have a 0.3 chance This exact thing happening? This exact thing? Well, you have a 0.7 chance of making, of scoring on the first one, then you have a 0.7 chance
0.3 TIMES 10 PLUS 0.7 TIMES 20 FREE
So, let's think about the way, let's think about the particular ways of getting two scores in six attempts and think about the probability for any one of those particular ways, and then we can think about how many ways can we get two scores in six attempts? So, for example, you could get you could make the first two free throws, so it could be score, score and We're asking right now, so this is what we want to figure out, the probability of exactly two scores in six attempts. So let's think about what that is and I encourage you to get inspired at any point in this video you should pause it and you should try to work through what What we are curiousĪbout, is the probability of exactly two scores in six attempts. These are the only two possibilities, so they have to add up to 100%, or they have to add up to one. You're either going to make or miss, you're going to score or miss, I don't want to use make in this because they both start with M so this is going to be a 30% probability, or if we write it as a decimal, 0.3 One minus this is 0.7. Missing a free throw, then and this is just going to come straight out of what we just wrote down, the probability of missing, of missing a free throw,
If we want to write it as a percent or we could write it as 0.7 if we write it as a decimal. scoring a free throw, is equal to, is going to be, say 70%. They both start with M and that can get confusing, so let's say the probability of scoring. Say of scoring a free throw because make and miss, Let's say that you know your probability of making a free throw.
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