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Probablity of picking up 3 vowels from the word MATHEMATICS Each of the letters in the word MATHEMATICS is on a letter tile in a bag

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Josefina Kunze

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5y ago

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The word 'probability' has 11 letters and 5 of them are vowels (including the 'y'). Therefore the probability of picking a vowel is 5/11.


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Probability is given as Desired Outcomes divided by total number of outcomes. For the probability of picking a vowel, desired outcomes are : a,e,i,o,u (5) Total no. of outcomes is the entire alphabet set from a to z (26) Hence, the required probabilty is 5/26


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What is the probability that a letter picked at random is not a vowel?

To work out probability you have to know the number of possible options, and how many of those options meet the criteria. In this case there are 26 possible options (all the letters) and 21 that meet the criteria (21 non-vowels). The probability is the number that match divided by the total number possible. In this case it would be 21/26. This comes out to approximately 0.80769. Thus the probability that a letter picked at random is not a vowel is 0.80769