The probability of getting two marbles of the same colour is 25/49.
<h3>What is defined as the probability?</h3>
- Probability is simply the likelihood of something occurring. When we are uncertain about the outcome of an event, we can discuss the probabilities of various outcomes—how likely they are.
- Statistics is the study of events governed by probability.
The formula for finding the probability is;
Probability(event) = favourable outcome/total outcome
Total red marbles in the bag = 3.
Total blue marbles in the bag = 4.
Total marbles = 7.
As, the case is with replacement total marble will remain same after the drawn of first marble.
The probability that first marble be red = 3/7
The probability that first marble be red = 3/7
The combine probability getting red marble = 3/7 × 3/7 = 9/49
The probability that first marble be blue = 4/7
The probability that first marble be blue = 4/7
The combine probability getting blue marble = 4/7 × 4/7 = 16/49.
The condition for OR either red or blue marble be drawn.
Thus,
The combine probability getting marble of same colour = 9/49 + 16/49.
Therefore, the combine probability getting marble of same colour = 25/49.
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