Ella jewelry box contains 20 earring: 4 are blue 6 are green,2 are red, and 8 are whit. she took one earring from box and then replaced. she repeated this process 50 times and recorded her result in follwing table

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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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