A jar contains 8 red marbles numbered 1-8 and 6 blue marbles numbered 1-6. Marble drawn at random from the jar. Find the probability marble Is red or odd number
There are 14 marbles total. To find the probability of drawing a red or odd numbered marble, we can split it into 2 cases:
Case 1: The marble is red.
There are 8 red marbles, so the probability that a marble is red is 8/14.
Case 2: The marble is odd numbered.
There are 4 odd numbered red marbles (1, 3, 5, 7) and 3 odd numbered blue marbles (1, 3, 5), giving a total of 7 odd numbered marbles. So the probability that a marble is odd numbered is 7/14.
However, we have counted the odd numbered red marbles twice - once in the red marbles and once in the odd numbered marbles. There are 4 odd numbered red marbles. So the probability of a marble being an odd numbered red marble is 4/14.
To determine the probability of a marble being red or odd numbered, we can add the probabilities of each case and subtract the probability of both:
(Probability of red) + (Probability of odd) - (Probability of odd red) = (8/14) + (7/14) - (4/14) = 11/14.
Therefore, the probability that a marble drawn from the jar is red or has an odd number is 11/14.