The questions are illustrations of combination and probability
- Combination involves the ways of choosing or selecting an item from a group of items
- Probability involves the chance of choosing or selecting an item from a group of items
<h3>1. Number of systems to choose from</h3>
The given parameters are:
Monitors = 4
Keyboard = 2
CPU = 4
Printer = 3
The number of systems to choose from is:
n = 4 * 2 * 4 * 3 = 96
Hence, Patrick can choose from 96 systems
<h3>2. Combination of Ice cream</h3>
The given parameters are:
Containers = 2
Flavors = 4
The number of total combination to choose from is:
n = 2 * 4C3 = 8
Hence, the number of total combination is 8
<h3>3. Emma dressing up</h3>
The given parameters are:
Blouse = 5
Skirt = 3
Shoes = 4 pairc
The number of ways to dress up:
n = 5 * 3 * 4 = 60
Hence, Emma can dress up in 60 ways
<h3>4. Members of committee</h3>
The given parameters are:
Students = 6
Members of committee = 3
The number of ways to form a committee is:
n = 6C3 = 20
Hence, there are 20 ways to form the committee
<h3 /><h3>5. Probability of consonant</h3>
We have:
Letters = 11
Consonnats = 7
The probability of selecting a consonant is:
P = 7/11
P = 0.636
Hence, the probability of selecting a consonant is: 0.636
<h3>6. Probability of not selecting a grade 8 student</h3>
We have:
Total students = 34
Students not in grade 8 = 25
The probability that a student is not in grade 8 is:
P = 25/34
P = 0.735
Hence, the probability that a student is not in grade 8 is 0.735
<h3>7. Probability of a secondary color </h3>
Not enough details to solve
<h3>8. Probability of a prime number</h3>
There are 9 prime numbers in a total number of 31 numbers from 4 to 34.
So, the probability that a number is prime is:
P = 9/31
P = 0.290
Hence, the probability that a number is prime is 0.290
Read more about combination and probability at:
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