Answer:
[tex]P(not~red) = \displaystyle\frac{37}{49}[/tex]
[tex]P(Purple) = 0[/tex]
Step-by-step explanation:
We are given that the bag contains 12 red marbles, 20 green marbles and 17 blue marbles.
Total number of marbles = 12 + 20 + 17 = 49
Formula:
[tex]Probability = \displaystyle\frac{\text{Number of favourable outcomes}}{\text{Total number of outcomes}}[/tex]
We have to find probability of not drawing a red marble from the bag.
First we will evaluate P(red)
[tex]P(red) = \displaystyle\frac{12}{49}[/tex]
Thus,
[tex]P(not~red) = 1 - P(red) = 1 - \displaystyle\frac{12}{49} = \displaystyle\frac{37}{49}[/tex]
[tex]P(Purple) = \displaystyle\frac{0}{49} = 0[/tex]
Because there are no purple marble in the bag.
