Question

A student has a bag of marbles. There are 5 pink, 7 red, 12 green, 2 blue, and 4 black marbles in the bag. Calculate the theoretical probability of picking a green marble.(1 point)
Responses

720
Start Fraction 7 over 20 End Fraction

1
1

35
Start Fraction 3 over 5 End Fraction

25

Answer 1

Emma has a bag of marbles. There are 9 pink, 5 red, 8 green, 2 blue, and 6 white marbles in the bag. Calculate the complement of not picking a pink marble.(1 point)
Responses

1
1

310
Start Fraction 3 over 10 End Fraction

710
Start Fraction 7 over 10 End Fraction

37

Answer 2

To calculate the theoretical probability of picking a green marble from the bag, we first need to find the total number of marbles.

The total number of marbles is:

- Pink: 5
- Red: 7
- Green: 12
- Blue: 2
- Black: 4

Total = 5 + 7 + 12 + 2 + 4 = 30 marbles

The number of green marbles is 12.

The probability \( P \) of picking a green marble is calculated using the formula:

\[
P(\text{Green}) = \frac{\text{Number of Green Marbles}}{\text{Total Number of Marbles}} = \frac{12}{30}
\]

Now, we can simplify \( \frac{12}{30} \):

\[
P(\text{Green}) = \frac{12 \div 6}{30 \div 6} = \frac{2}{5}
\]

The theoretical probability of picking a green marble is \( \frac{2}{5} \).

Looking at the given responses, the correct one is not listed, but it seems “\( \frac{3}{5} \)” might be a misunderstanding or typo in choices.

To summarize:

- Total marbles: 30
- Green marbles: 12
- Theoretical probability of picking a green marble: \( \frac{2}{5} \)