A box has 5 blue, 2 white, and 3 red marbles. If one marble is picked at random, what is the probability that it is red?
Explanation
1. Calculate the Total Number of Outcomes (Sample Space):
The total number of marbles in the box is the sum of all blue, white, and red marbles:
Total Marbles=5 (blue)+2 (white)+3 (red)=10
2. Identify the Number of Favorable Outcomes:
We want to find the probability of picking a red marble.
Number of Red Marbles=3
3. Apply the Probability Formula:
The basic formula for probability is:
Probability (P)=Total Number of OutcomesNumber of Favorable Outcomes
Substituting our values into the formula:
P(Red)=103
Correct Answer
Option (d) 3/10