Respuesta :
The probabilities are 0.25 and 0.454.
Probability
Probability means possibility. It deals with the occurrence of a random event. The value of probability can only be from 0 to 1. Its basic meaning is something is likely to happen. It is the ratio of the favorable event to the total number of events.
Given
A bucket contains 3 red balls, 4 yellow balls, and 5 purple balls.
To find
The probability that the first ball is red and the second ball is purple.
How to find the probability that the first ball is red and the second ball is purple?
We know the formula
[tex]\rm Probability = \dfrac{favorable\ events}{total\ events}[/tex]
For the first ball is red, then
Total event = 12
Favorable event = 3
[tex]\rm Probability = \dfrac{favorable\ events}{total\ events}\\\\\rm Probability = \dfrac{3}{12}\\\\\rm Probability = 0.25[/tex]
For the second ball is purple, then
one ball is taken from the bucket and is not replaced
Total event = 11
Favorable event = 5
[tex]\rm Probability = \dfrac{favorable\ events}{total\ events}\\\\\rm Probability = \dfrac{5}{11}\\\\\rm Probability = 0.454[/tex]
Thus the probabilities are 0.25 and 0.454.
More about the probability link is given below.
https://brainly.com/question/795909
