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The complete question
Color Number of times picked from jewelry box
blue 14
green 8
red 16
white 12
- What's the theoretical possibility of choosing a red earring?(fraction and percent)
- What's the Experimental possibility of choosing a red earring?(fraction and percent)
- What's the theoretical possibility of choosing a blue earring?(fraction and percent)
- What's the Experimental possibility of choosing a blue earring?(fraction and percent)
The probability values are:
- The theoretical probability of selecting a red earring is 25%
- The experimental probability of selecting a red earring is 10%
- The theoretical probability of selecting a blue earring is 25%
- The experimental probability of selecting a blue earring is 20%
How to determine the theoretical probability of red earring?
Here, we use the color of the earrings;
There are 4 colors in total, one of which is red
So, the theoretical probability of selecting a red earring is:
P(Red) = n(Red)/Total
This gives
P(Red) = 1/4 = 25%
Hence, the theoretical probability of selecting a red earring is 25%
How to determine the experimental probability of red earring?
The distribution of the earrings is given as:
Red = 2
Total = 20
The probability of selecting a red earring is:
P(Red) = n(Red)/Total
So, we have:
P(Red) = 2/20
Evaluate
P(Red) = 1/10 or 10%
Hence, the experimental probability of selecting a red earring is 10%
How to determine the theoretical probability of blue earring?
Here, we use the color of the earrings;
There are 4 colors in total, one of which is blue
So, the theoretical probability of selecting a blue earring is:
P(Blue) = n(Blue)/Total
This gives
P(Blue) = 1/4 = 25%
Hence, the theoretical probability of selecting a blue earring is 25%
How to determine the experimental probability of blue earring?
The distribution of the earrings is given as:
Blue = 4
Total = 20
The probability of selecting a blue earring is:
P(Blue) = n(Blue)/Total
So, we have:
P(Blue) = 4/20
Evaluate
P(Blue) = 1/5 or 20%
Hence, the experimental probability of selecting a blue earring is 20%
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