Solution: The probability that he will not get red marbles is [tex]\frac{37}{49}[/tex].
Explanation:
It is given that the john has 12 red marbles, 20 green marbles and 17 blue marbles in his bag.
The total number of marbles in the bag is [tex]12+20+17=49[/tex], therefore the number of total outcomes is 49.
If john will not get red marble it means he get blue and green marble, therefore the number of possible outcomes is [tex]20+17=37[/tex].
The probability is the ratio of possible outcomes and total outcomes.
Probability of not getting red marble =[tex]\frac{37}{49}[/tex].
Therefore, the probability that he will not get red marbles is [tex]\frac{37}{49}[/tex].