Question

which event has a probability other than $\frac{1}{2}$?

• flipping a coin with the result of tails
• choosing a vowel from a bag of tiles that contains one of each letter of the alphabet
• rolling an even number on a number cube that is numbered from 1 to 6
• choosing a red card from a standard deck of cards (a standard deck has 52 cards 26 of which are red)

Explanation:

Step1: Calculate coin - flip probability

A coin has 2 outcomes (heads and tails). Probability of getting tails is $\frac{1}{2}$.

Step2: Calculate vowel - selection probability

There are 26 letters in the alphabet and 5 vowels. Probability of choosing a vowel is $\frac{5}{26}
eq\frac{1}{2}$.

Step3: Calculate even - number roll probability

A number cube numbered 1 - 6 has 3 even numbers (2, 4, 6). Probability of rolling an even number is $\frac{3}{6}=\frac{1}{2}$.

Step4: Calculate red - card selection probability

A standard deck has 52 cards with 26 red cards. Probability of choosing a red card is $\frac{26}{52}=\frac{1}{2}$.

Answer:

B. choosing a vowel from a bag of tiles that contains one of each letter of the alphabet