Probability helps us to know the chances of an event occurring. The probability that the student picks a blue marble from the bag, and then rolls a 4 is \(\dfrac{5}{72}\).
What is Probability?
The probability helps us to know the chances of an event occurring. It is given by the formula,
\(\rm{Probability=\dfrac{Desired\ Outcomes}{Total\ Number\ of\ outcomes\ possible}\)
Given to us
A bag has 5 blue marbles, 4 red marbles, and 3 green marbles.
Total number of marbles in the bag = 12
We need to find the probability of the student picking a blue marble and then rolling the dice to get 4. To solve this we will find the probability of each case separately,
Probability of getting a blue marble,
\(\rm{Probability=\dfrac{\text{Number of blue marbles}}{\text{Total number of marbles}}\)
\(\rm{Probability=\dfrac{5}{12}\)
Probability of getting a 4 on the dice,
\(\rm{Probability=\dfrac{\text{Faces having number 4 on dice}}{\text{Total number of Faces on dice}}\)
\(\rm{Probability=\dfrac{1}{6}\)
The probability that the student picks a blue marble from the bag, and then rolls a 4,
\(Probability = \dfrac{5}{12} \times \dfrac{1}{6} = \dfrac{5}{72}\)
Hence, the probability that the student picks a blue marble from the bag, and then rolls a 4 is \(\dfrac{5}{72}\).
Learn more about Probability:
https://brainly.com/question/795909
