Answer:
1/10
Step-by-step 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.
