Riley is playing a game that requires rolling a number cube 1-6 ans spinning a spinner with 3 consonants and 1 vowel. The sections of the spinner are all the same size. What is the probability that Riley rolls a number less than 3 and lands on a consonants. 1. 1/12 2. 3/8 3. 1/8 4. 1/8 Answer now to get 10 points!!!

Work Shown:

The outcomes of the cube are {1,2,3,4,5,6}. The outcomes less than 3 are {1,2}. We have 2 outcomes we want out of 6 total, so the probability of getting an outcome less than 3 is 2/6 = 1/3.

The probability of landing on a consonant is 3/4 because there are 3 consonants and 3+1 = 4 letters total

Multiply the two probabilities: (1/3)*(3/4) = (1*3)/(3*4) = 1/4

The probability of getting a dice roll less than 3, and getting a consonant on the spinner, is 1/4.

answer: translate the circles so they share a common center point and dilate circle y by a scale factor of 3.