Question

question 7 (multiple choice worth 2 points) (theoretical probability lc) when given a set of cards laying face down that spell m, a, t, h, i, s, f, u, n, determine the probability of randomly drawing a consonant.

Explanation:

Step1: Count total number of cards

There are 6 cards (M, A, T, H, I, S, F, U, N has 9 letters but we assume 6 - card set as per context).

Step2: Count number of consonants

The consonants are M, T, H, S, F, N. There are 6 consonants.

Step3: Calculate probability

The probability $P$ of drawing a consonant is the number of favorable outcomes (drawing a consonant) divided by the number of total outcomes (drawing any card). So $P=\frac{6}{9}=\frac{2}{3}$.

Answer:

$\frac{2}{3}$