A jar contains 5 red, 3 green, and 2 blue marbles. If one marble is drawn at ran
Practice Questions
Q1
A jar contains 5 red, 3 green, and 2 blue marbles. If one marble is drawn at random, what is the probability that it is either red or green?
1/2
2/5
4/5
3/5
Questions & Step-by-Step Solutions
A jar contains 5 red, 3 green, and 2 blue marbles. If one marble is drawn at random, what is the probability that it is either red or green?
Step 1: Count the number of red marbles. There are 5 red marbles.
Step 2: Count the number of green marbles. There are 3 green marbles.
Step 3: Count the number of blue marbles. There are 2 blue marbles.
Step 4: Add the total number of marbles together: 5 (red) + 3 (green) + 2 (blue) = 10 total marbles.
Step 5: Count the favorable outcomes, which are the red and green marbles: 5 (red) + 3 (green) = 8 favorable outcomes.
Step 6: Calculate the probability of drawing a red or green marble by dividing the number of favorable outcomes by the total number of marbles: 8 (favorable) / 10 (total) = 4/5.
Step 7: The final answer is that the probability of drawing a red or green marble is 4/5.
Probability – The likelihood of an event occurring, calculated as the ratio of favorable outcomes to total outcomes.
Favorable Outcomes – The outcomes that satisfy the condition of the probability question, in this case, drawing a red or green marble.
Total Outcomes – The total number of possible outcomes, which is the sum of all marbles in the jar.