A couple just had twin boys, but they can’t decide between the names Mike, Mark, Peter, Paul, Sam, and Sonny. If the couple randomly chooses names for the 2 boys from the names listed, what is the probability that the first boy born will be named Sam and the second boy born will be named Mark? Assume that the boys will not have the same name.
Answers
Answer:
The probability is 1/30 or 0.0333
Step-by-step explanation:
For calculating the probability we need to make a division between the number of ways in which the first boy born is named Sam and the second boy born is named Mark and the total number of ways in which the couple can name their children.
To calculate the total number of ways in which the couple can name their children, we can use the rule of multiplication as:
6 * 5 = 30
First boy Born 2nd Boy Born
Because we have 6 options for the name of the first boy and 5 options for the name of the second boy.
Additionally, In just one option from this 30, the first boy is named Sam and the second is named Mark.
So, the probability is calculate as the division between 1 and 30 as:
Final answer:
The probability that the first boy born will be named Sam and the second boy born will be named Mark is 1/15.
Explanation:
To find the probability that the first boy born will be named Sam and the second boy born will be named Mark, we need to determine the total number of possible outcomes and the number of favorable outcomes.
There are a total of 6 names to choose from and the couple needs to choose 2 names without repetition. So, the total number of possible outcomes is given by the combination formula C(6,2) which evaluates to 15.
Out of these 15 possible outcomes, there is only 1 favorable outcome where the first boy is named Sam and the second boy is named Mark.
Therefore, the probability that the first boy born will be named Sam and the second boy born will be named Mark is 1/15.
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Answer:
Step-by-step explanation:
to find increased percent
increase amount = $70 - $40
=$30
increase percent = increase amount /original amount *100%
=30/40 *100%
=3000/40
=75%
to find decrease percent
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=3000/70
=42.85 %
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Step-by-step explanation:
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Answer:
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Step-by-step explanation:
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Answer:
1
Step-by-step explanation:
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c
Step-by-step explanation:
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Answers
Answer:
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Step-by-step explanation:
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04 : 15
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