To find the desired probability, compare the number of favorable outcomes to the number of possible outcomes.
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Practice makes perfect
The English alphabet consists of 26 letters. We know two friends play a game with 20-sided die that has all of the letters of the alphabet on it except for Q, U, V, X, Y, and Z. There are 6 letters excluded and 20 still in the game. We will list those 20 letters left in the game and bold the vowels to easily distinguish them from consonants.
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A & B & C & D & E
F & G & H & I & J
K & L & M & N & O
P & R & S & T & WTherefore, on each side of the 20-sided die there is exactly one letter. We want to find the probability that the die will land on a vowel. To find it we will use theoretical probability.
P=Favorable Outcomes/Possible Outcomes
The number of favorable outcomes is the number of vowels still in the game. From the list, we can see there are 4 vowels. Therefore, the number of favorable outcomes is 4. They play with a 20-sided die, so the number of possible outcomes is 20. We have enough information to find the desired probability.
