Question

questions 1-9 of 9 | page 1a fair die is rolled once. what is the probability of rolling a 4 or a 6? p(4 or 6)a 5/6b 1/6c 2/3d 1/3question 2 (1 point)you have a bag with 3 red marbles, 6 green marbles, 8 white marbles, and 7 black marbles. what is the probability of selecting a green marble? write your answer as a decimal rounded to the nearest hundredth.a 1.33b 0.13c 0.33d 0.25question 3 (1 point)you have 11 cards with the letters probability with one letter per card. what is the probability of selecting a consonant? consider \y\ to be a vowel.write your answer as a decimal rounded to two decimal places.

Explanation:

Question 1

Step1: Count total outcomes

A die has 6 faces, so total outcomes $n(T) = 6$.

Step2: Count favorable outcomes

Favorable outcomes (4 or 6) are 2, so $n(F) = 2$.

Step3: Calculate probability

Probability $P = \frac{n(F)}{n(T)} = \frac{2}{6} = \frac{1}{3}$.

Question 2

Step1: Calculate total marbles

Sum all marbles: $3 + 6 + 8 + 7 = 24$.

Step2: Count green marbles

Green marbles $n(G) = 6$.

Step3: Compute decimal probability

$P = \frac{6}{24} = 0.25$.

Question 3

Step1: List letters in PROBABILITY

Letters: P, R, O, B, A, B, I, L, I, T, Y (11 total).

Step2: Count vowels (O, A, I, I, Y)

Vowels = 5, so consonants $n(C) = 11 - 5 = 6$.

Step3: Calculate decimal probability

$P = \frac{6}{11} \approx 0.55$.

Answer:

1. d. 1/3
2. d. 0.25
3. 0.55