Name a ratio that is equivalent to 2:3
2 answers:
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Answer:
The probability of not selecting a red marble, P(R)' = 10/19
Step-by-step explanation:
The probability of an event occurring is equal to the number of ways the required event occurs divided by the number of possible outcomes
The number of ways of an event not occurring is 1 less the probability of the event occurring
The number of green marbles in the bag = 6
The number of red marbles in the bag = 9
The number of blue marbles in the bag = 4
The sum of the marbles in the bag, n = 6 + 9 + 4 = 19
The number of ways of selecting a red marble = 9 ways
The probability of selecting a red marble = 9 ways/19 marbles = 9/19
The probability of not selecting a red marble = 1 - 9/19 = 10/19 =
The probability of not selecting a red marble P(R)' = 10/19
Using the Fundamental Counting Theorem, we have that:
4. 1,757,600 different license plates can be there.
5. 676,000,000 different driver's license numbers can be formed.
<h3>What is the Fundamental Counting Theorem?</h3>It is a theorem that states that if there are n things, each with ways to be done, each thing independent of the other, the number of ways they can be done is:
For the letters there are 26 outcomes and for the digits there are 10 outcomes, hence the parameters for item 4 are given as follows:
Hence the number of license plates is given by:
N = 26 x 26 x 10 x 10 x 26 = 1,757,600.
For item 5, the parameters are:
Hence the number of license numbers is:
26 x 26 x 10 x 10 x 10 x 10 x 10 x 10 = 676,000,000
More can be learned about the Fundamental Counting Theorem at brainly.com/question/24314866
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