Question

A number cube labeled one though six is rolled and a letter is selected from

the word MUSIC. Find each probability. P(6 and consonant)

Answer 1

1/10

Explanation:

In the question above we are given two data sets

a) A number cube labelled and it rolled, 1 to 6

b) A word called Music

We are asked to find the probability of

obtaining a 6 from the rolled dice and picking a consonant.

Step 1

Probability = Number of Possible Outcomes/ Number of events

Probability of obtaining a 6 from the rolled cube = P(6) = 1/6

Step 2

Probability = Number of Possible Outcomes/ Number of events

In the Letter MUSIC, we have 5 letters,

2 Vowels and 3 consonants

The Probability of Obtaining an Consonant = Number of possible outcomes ( Number of consonants) ÷ Number of events ( Number of letters in MUSIC)

P ( Consonant) = 3/5

Step 3

This is the final step

And we are to find the Probability of P(6 and consonant)

P( 6 and Consonant ) = P (6) × P ( Consonant)

P ( 6 and Consonant) = 1/6 × 3/5

= 3/30 = 1/10

Therefore, the Probability of obtaining P(6 and consonant) = 1/10.