Question

in a game you are required to pull a letter from a bag that contains one of each vowel in the alphabet (a, e, i, o, and u) and then roll a standard die. what is the probability you will draw the letter e and roll an even number? (1 point) 0.200 0.100 0.125 0.700

Explanation:

Step1: Calculate probability of drawing E

There are 5 vowels (A, E, I, O, U). Probability of drawing E is \(P(E)=\frac{1}{5}= 0.2\).

Step2: Calculate probability of rolling an even number

A standard die has 6 faces (\(1,2,3,4,5,6\)). Even numbers are \(2,4,6\). So probability of rolling an even number is \(P(\text{even})=\frac{3}{6}=0.5\).

Step3: Use multiplication rule for independent events

Since drawing a letter and rolling a die are independent events, \(P(E\cap\text{even})=P(E)\times P(\text{even})\).
Substitute values: \(0.2\times0.5 = 0.1\).

Answer:

0.100