The probability that Gavin will select two red tiles when he randomly draws one tile from each bag is 1/18. So, option C is the correct answer.
What is the probability of an event?
The probability of an event is a fractional value determining how likely an event is to occur. The formula of the probability of an event =
The number of favorable outcomes to an event/total number of outcomes in that event.
What are independent events?
Two events A and B are said to be independent when the occurrence is not related to the occurrence of the other.
The probability of independent events is given by:
Probability(both A and B occurs) = Probability(A occurs)*Probability(B occurs)
How do we solve the given question?
We are informed that Gavin has two bags of tiles, and he draws one tile from each bag.
We are asked to find the probability that he will select two red tiles.
Let the event of drawing a red tile from bag 1 be A and bag 2 be B.
Since the two bags are different, A and B are independent events.
Now, the number of red tiles in bag 1 = 3. These are in favor of A.
The total number of tiles in bag 1 = 18.
∴ Probability(A) = 3/18
or, P(A) = 1/6.
Now, the number of red tiles in bag 2 = 3. These are in favor of B.
The total number of tiles in bag 2 = 9.
∴ Probability(B) = 3/9
or, P(B) = 1/3.
Since A and B are independent, the occurrence of A and B together is,
Probability (A and B) = P(A)*P(B)
or, P(A and B) = 1/6 * 1/3 = 1/18.
∴ The probability that Gavin will select two red tiles is 1/18.
Hence, option C. is the correct option.
Learn more about independent events at
https://brainly.com/question/21449690
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