The probability in all given conditions is 1/4.
According to the statement
Number of coin tossed = 3
Total outcomes = 8
Now, we have to find the probabilities on different conditions.
- Probability of a head on each of the last two tosses
Probability = A head on each of the last two tosses/ total outcomes
Probability = 2/8
Probability = 1/4.
- Probability of alternating tale and head
Probability = alternating tale and head / total outcomes
Probability = 2/8
Probability = 1/4.
- Probability of a no tails on each of the last two tosses
Probability = A No tails on each of the last two tosses/ total outcomes
Probability = 2/8
Probability = 1/4.
So, The probability in all given conditions is 1/4.
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Answer:
first, find the decreased price by multiplying 100 by 8% and subtracting:
100 x 0.08 = 8
100-8 = 92 ( reduced price )
now multiply reduced price by 8% and add:
92 x 0.08 = 7.36
92 + 7.36 = $99.36
Step-by-step explanation:
9 x 1/8 = 1 and 1/8
27 / 23 = 27/23, that is its simplest form.
Using a system of equations, it is found that there were 4,000 children tickets sold.
<h3>What is a system of equations?</h3>
A system of equations is when two or more variables are related, and equations are built to find the values of each variable.
For this problem, the variables are given by:
- Variable x: Number of children tickets sold.
- Variable y: Number of adult tickets sold.
The attendance at the amusement park is 5,000 attendees, hence:
x + y = 5000 -> y = 5000 - x.
Considering the cost of parking and that the total money earned by the park is $100,000, we have that:
15x + 40y = 100000
Applying the multiplication of the matrices, these equations are the same that the system gives. Replacing the second equation into the first:
15x + 40(5000 - x) = 100000
25x = 100000
x = 100000/25
x = 4000.
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