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Sagot :
Answer: 16 FOR THE FIRST ONE
292
2/30
CAN'T ANSWER NUMBER 4 SORRY
THE PROBABILITIES OF THE INDIVIDUAL OUTCONES ARE THE SAME
Step-by-step explanation:
HOPE IT HELPS
Part 1: The option (A) is correct. The prediction of the event is 32 spins.
Part 2: Option (B) is correct. The probability of the event is 139 passwords.
Part 3: The P(yellow or blue) is 2/6.
Part 4: Option (B) is correct.
Part 5: Both options (A) and (C) are correct.
Probability means possibility. It is a branch of mathematics that deals with the occurrence of a random event. The value is expressed from zero to one.
Part 1:
The option (A) is correct. The prediction of the event is 32 spins.
For the given situation,
Number of segments the spinner has n = {1,2,3,4}
The event is the number of times the spinner will be spun before the number 2 appears 8 times
In one spin there are four possibilities. So to get the number 2 appears 8 times it becomes [tex]4[/tex] × [tex]8[/tex] [tex]= 32[/tex]
Thus, the option (A) is correct. The prediction of the event is 32 spins.
Part 2:
Option (B) is correct. The probability of the event is 139 passwords.
For the given situation,
The password is generated by using numbers 0 through 9 and uppercase letters.
Numbers 0 to 9, total = 10 numbers
Uppercase letters = 26 letters
So, Total characters = [tex]10+26=36[/tex]
The event is the prediction for the number of passwords in which the first character is a number.
The probability of the event is given by [tex]\frac{10}{36}[/tex]
⇒[tex]0.27[/tex]
Total passwords generated = 500
The prediction for the number of passwords in which the first character is a number = [tex]0.27[/tex] × [tex]500[/tex]
⇒[tex]138.8[/tex] ≈ [tex]139[/tex]
Thus the probability of the event is 139 passwords. Option (B) is correct.
Part 3:
The P(yellow or blue) is 2/6.
For the given situation,
The deck has total number cards = 30 cards
Blue cards = 6 cards
Red cards = 6 cards
Yellow cards = 6 cards
Brown cards = 6 cards
The probability of drawing a yellow card or a blue card is
[tex]P(e)=P(yellow or blue)[/tex]
⇒[tex]P(e)= P(yellow) + P(blue)[/tex]
⇒[tex]P(e)= \frac{6}{30} + \frac{6}{30}[/tex]
⇒[tex]P(e)=\frac{12}{30}[/tex]
⇒[tex]P(e)= \frac{2}{6}[/tex]
Thus the P(yellow or blue) is 2/6.
Part 4:
From definition, Option (B) is correct.
For the given statements by definition,
UNIFORM probability is the probability model of each outcome occurring is the same.
A NON- UNIFORM probability is the probability model of each outcome occurring is not the same.
Thus from definition, Option (B) is correct.
Part 5:
Both options (A) and (C) are correct.
For the given situation,
Total number of markers = 16
Red markers = 5
Blue markers = 6
Yellow markers = 5
The number of markers are different for different colors.
So the given situation models the non-uniform probability, and the
individual outcomes are not the same.
Thus both options (A) and (C) are correct.
Link to know more about probability here
https://brainly.com/question/10207660
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