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Hello guys and welcome.
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Today i'm going to show you how to solve this problem.
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This problem says approximate the probability that in 66 tasks of a fair die, fewer than 11 fives will be obtained.
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Express the probability is a decimal run to the nearest thousand.
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Okay, so we are looking for n, uh, how i'm sorry, i'm sorry, n is less than 11, where n is number of fives you get, number of fives obtained.
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And this is out of 66 tosses.
00:35
So let me rewrite that.
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This looks kind of like a 5 as well.
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Fives.
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And this is out of 66 tosses total.
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Now let's find the probability that you get a 5 in one single trial.
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Probability of 5 will be equal to.
00:57
Since it says here that it's a fair die and there are six sides on a die, we can say that the probability of getting a 5 would be 1 .6.
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Okay, so now to find this probability, we can use a simple tool on our calculator, which is most likely on every single calculator, graphing calculator.
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And what this tool is called as binomial pdf.
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This tool basically calculates the probability of you getting a certain number or below of successes in a given number of trials.
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So let me refresh this because these numbers are not what you want.
01:35
So let's fill out the blanks first...