Can you please help me
1 answer:
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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:
<u> 6 </u> * <u> 5 </u> = 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:
Get everything on one side: 
. Now we can factor to find the solutions. What we ask ourselves here is "What 2 numbers will add to be +4 and multiply to be -21?" +7 and -3 work because 7-3 = 4 and 7 * -3 = -21. So our factors are (x+7)(x-3). Our solutions, however, are found using the Zero Product Property. If x + 7 = 0, then x = -7. If x - 3 = 0, then x = 3. So our solutions are x = -7 and x = 3.