Question

1. a single marble is drawn from a jar containing 20 marbles, as shown below:

3a what is the probability of drawing a blue marble? express your answer as a percentage.
probability = 35%
3 great effort!
3b what is the probability of drawing a blue marble or a red marble? express your answer as a percentage.
probability = (12/20)·100%
explain
probability = enter your next step here

Explanation:

Step1: Recall Probability of "Or"

For mutually exclusive events (drawing blue or red marble, can't be both at once), \( P(A \text{ or } B) = P(A) + P(B) \). First, find number of blue and red marbles. From 3a, blue probability is 35% of 20 marbles: \( 0.35 \times 20 = 7 \) blue marbles. Let's assume red marbles: total marbles 20, if blue is 7, and from the attempt \( \frac{12}{20} \) (12 marbles for blue + red), so red marbles \( 12 - 7 = 5 \). So total favorable (blue + red) is 12.

Step2: Calculate Probability

Probability is \( \frac{\text{Number of blue + red}}{\text{Total marbles}} \times 100\% \). So \( \frac{12}{20} \times 100\% = 60\% \).

Answer:

60%