Question

When given a set of cards laying face down that spell W, E, L, O, V, E, M, A, T, H, determine the probability of randomly drawing a vowel.

Answer 1

2/5 or 0.4

Explanation:

1. Count the total number of vowels. (4)

2. Count the total number of letters. (10)

3. Write the number of vowels out of the total number of letters. (4/10)

4. Simplify the fraction or divide to get the answer.

Answer 2

`\Large \textsf{Read below}`

Explanation:

`\Large \text{$\sf \Omega = \{W,\:E,\:L,\:O,\:V,\:E,\:M,\:A,\:T,\:H\}$}`

`\Large \text{$\sf A = \{E,\:O,\:E,\:A\}$}`

`\Large \text{$\sf P(A) = (n(A))/(n(\Omega))$}`

`\Large \text{$\sf P(A) = (4/ 2)/(10/ 2)$}`

`\Large \boxed{\boxed{\text{$\sf P(A) = (2)/(5) = 0,4 = 40\%$}}}`