Answer:
P(a purple marble then a white marble) is 6/105 ⇒ 1st answer
Explanation:
* Lets explain how to solve the problem
- There are 2 green marbles
- There are 7 blue marbles
- There are 3 white marbles
- There are 4 purple marbles
- Once a marble is drawn, it is NOT replaced
- We need to find P(a purple marble then a white marble)
* At first lets find the total number of marbles by adding all color
∵ There are 2 green , 4 purple , 3 white and 7 blue
∴ The total number of marbles = 2 + 4 + 3 + 7 = 16
∴ There are 16 marbles in the bag
∵ Probability = number of events/number of all outcomes
∵ There are 4 purple marbles
∴ The probability of chosen a purple marble is P(purple) = 4/15
∵ Once a marble is drawn, it is NOT replaced
∴ The total number of marbles = 15 - 1 = 14 marbles
∵ The number of white marbles is 3
∴ The probability of chosen a white marble is P(white) = 3/14
∵ P(a purple marble then a white marble) = P(purple) . P(white)
∵ P(purple) = 4/15
∵ P(white) = 3/14
∴ P(a purple marble then a white marble) = (4/15)(3/14) = 6/105
* P(a purple marble then a white marble) is 6/105