Answer:
Therefore the probability that the marble is blue or even numbered is 
Step-by-step explanation:
Probability: The ratio of favorable outcomes to the total outcomes.
It is denoted by P.

Given that a jar contains 8 red marbles and 7 blue marbles.
Total number of marbles = (8+7) = 15
Let A = Event of getting a blue marble
B= Event of getting of even marble.
Even number blue marbles are 2, 4,6
Even number red marbles are 2, 4,6,8
The number of even marbles are =(3+4)=7
The probability of getting a blue marble is P(A)


The probability of getting a even marble is P(B)


The probability of getting a even numbered blue marble P(A∩B)

P(blue marble or even- numbered)
=P(A∪B)
=P(A)+P(B)-P(A∩B)


Therefore the probability that the marble is blue or even numbered is 