Respuesta :
Answer: 1/4
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.
Using it's concept, it is found that the probability that Riley rolls a number less than 3 and lands on a consonants is given by: [tex]\frac{1}{4}[/tex].
What is a probability?
A probability is given by the number of desired outcomes divided by the number of total outcomes.
In this problem:
- For the number cube, 2 out of the 6 numbers are less than 3, hence P(A) = 2/6 = 1/3.
- For the spinner, 3 out of the 4 sections are consonants, hence P(B) = 3/4.
The events are independent, hence the probability of both is given by:
P(A and B) = P(A) x P(B) = 1/3 x 3/4 = 1/4.
More can be learned about probabilities at https://brainly.com/question/14398287
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