consider a bowl containing 36 different slipsof paper. Ten of the slips of paper each contain one of the set of digits0 through 9 and 26 slips each contain one of the 26 letters of
the alphabet. Determine the probabilities of the events specified.
Drawing one slip, what is P (slip contains a vowel)?
There are only 5 vowels in the bowl, so the prob(a vowel) = 5/36
To determine the probability of drawing a slip that contains a vowel, we first need to know the total number of slips in the bowl.
In this case, there are 10 slips containing digits (0-9) and 26 slips containing letters (A-Z). Therefore, the total number of slips is 10 + 26 = 36.
Next, we need to determine the number of slips that contain vowels. In the English alphabet, the letters A, E, I, O, and U are considered vowels. So there are 5 vowel letters in total.
Therefore, the number of slips that contain vowels is 5.
To calculate the probability, we divide the number of favorable outcomes (slips containing vowels) by the total number of possible outcomes (total number of slips).
P(slip contains a vowel) = Number of slips containing vowels / Total number of slips
P(slip contains a vowel) = 5 / 36
Simplifying the fraction, we get:
P(slip contains a vowel) ≈ 0.138 or approximately 13.8%