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Answer:
a. 1365 ways
b. Probability = 0.4096
c. Probability = 0.5904
Explanation:
Given
PCs = 15
Purchase = 3
Solving (a): Ways to select 4 computers out of 15, we make use of Combination formula as follows;
Where
<em>Hence, there are 1365 ways </em>
Solving (b): The probability that exactly 1 will be defective (from the selected 4)
First, we calculate the probability of a PC being defective (p) and probability of a PC not being defective (q)
<em>From the given parameters; 3 out of 15 is detective;</em>
So;
Solving further using binomial;
Where n = 4
For the probability that exactly 1 out of 4 will be defective, we make use of
Substitute 4 for n, 0.2 for p and 0.8 for q
Solving (c): Probability that at least one is defective;
In probability, opposite probability sums to 1;
Hence;
<em>Probability that at least one is defective + Probability that at none is defective = 1</em>
Probability that none is defective is calculated as thus;
Substitute 4 for n and 0.8 for q
Substitute 0.4096 for Probability that at none is defective
Probability that at least one is defective + 0.4096= 1
Collect Like Terms
Probability = 1 - 0.4096
Probability = 0.5904
Following are the "dice_eval" method code into python language.
Program Explanation:
- Defining a method "dice_eval" that takes two variables "d1,d2" in its parametes.
- Inside the method, multiple conditional statements were used that adds the parameter values and calculates its value which can be defined as follows:
- In the if block, it adds the parameters and uses or gate that check its value that is equal to 7 or 11. so, it will return a string message that is 'Winner!'.
- In the elif block, it adds the parameters and uses or gate that check its value that is equal to 2 or 3 or 12. so, it will return a string message that is ' C r aps ! '.
- In the else block, it uses a return keyword that adds parameter value and prints a string value.
- Outside the method "d1,d2" is declared that inputs the value from the user-end, and passes the value into the method, and prints its value.
Program:
def dice_eval(d1, d2):#defining a method dice_eval that takes two parameters
if (d1+d2)==7 or (d1+d2)==11:#defining if block that adds parameter value and use or operator to check its value
return 'Winner!'#return string value
elif (d1+d2)==2 or (d1+d2)==3 or (d1+d2)==12:#defining elif block that adds parameter value and use or operator to check its value
return 'C r aps!'#return string value
else:#defining else block
return 'Point is '+str(d1+d2)#return string value with adding parameter
d1=int(input())#defining d1 that input value
d2=int(input())#defining d2 that input value
print(dice_eval(d1,d2))#calling method and print its return value
Output:
Please find the attached file
Please find the complete code in the attached file.
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