Question

A bag contains four red marbles, three yellow marbles, and three purple marbles. You will randomly select one marble from the bag.
Which statements are true regarding the scenario? Check all that apply.
The probability you select a red marble is 3/10
The probability you select a purple marble is 3/10
P(Red) + P(Yellow) + P(Purple) = 1
The probability you select a green marble is 0.
The probability you select a yellow marble is 3.

Answer 1

Answer with explanation:

Number of Marbles in the bag = 3 Yellow + 4 Red Marbles + 3 Purple Marble

                                   = 10 Marbles

Probability of an event

                   $=\frac{\text{total favorable Outcome}}{\text{Total Possible Outcome}}$

Probability of Drawing a Yellow Marble from the bag

                           $=\frac{3}{10}$

Probability of Drawing a Purple ball from the bag

                           $=\frac{3}{10}$

Probability of Drawing a Red Marble from the bag

                           $=\frac{4}{10}$

Also, Sum of total Probability of each individual event of a sample Space

  $=\frac{3}{10}+\frac{4}{10}+\frac{3}{10}\\\\=\frac{10}{10}=1$

Option B: The probability you select a purple marble is 3/10

Option C: P(Red) + P(Yellow) + P(Purple) = 1

Option D: As, there is no green marble , so probability of selecting a green marble is equal to 0.

                     

Answer 2

The probability that you select a purple marble is 3/10
P(red)+P(yellow)+P(purple)=1
the probability that you select a green marble is 0