Answer:
P(a blue marble then a green marble) is 4/105 ⇒ 1st answer
Step-by-step explanation:
* Lets explain how to solve the problem
- There are 2 green marbles
- There are 4 blue marbles
- There are 1 red marble
- There are 8 yellow marbles
- Once a marble is drawn, it is <em>NOT</em> replaced
- We need to find P(a blue marble then a green marble)
* At first lets find the total number of marbles by adding all color
∵ There are 2 green , 4 blue , 1 red and 8 yellow
∴ The total number of marbles = 2 + 4 + 1 + 8 = 15
∴ There are 15 marbles in the bag
∵ Probability = number of events/number of all outcomes
∵ There are 4 blue marbles
∴ The probability of chosen a blue marble is P(blue) = 4/15
∵ Once a marble is drawn, it is <em>NOT</em> replaced
∴ The total number of marbles = 15 - 1 = 14 marbles
∵ The number of green marbles is 2
∴ The probability of chosen a green marble is P(green) = 2/14
∵ P(a blue marble then a green marble) = P(blue) . P(green)
∵ P(blue) = 4/15
∵ P(green) = 2/14
∴ P(a blue marble then a green marble) = (4/15)(2/14) = 4/105
* P(a blue marble then a green marble) is 4/105
