There are 3 green marbles and 7 orange marbles in a bag.Without looking Jill selected 2 marbles. What is the probability of drawing 2 green marbles? Question 2Select one:a.1/15b.6/100c.6/20d.5/20e.None of these answers are correct
Question
There are 3 green marbles and 7 orange marbles in a bag.Without looking Jill selected 2 marbles. What is the probability of drawing 2 green marbles? Question 2Select one:a.1/15b.6/100c.6/20d.5/20e.None of these answers are correct
Solution
To solve this problem, we need to use the concept of probability.
Step 1: Calculate the total number of marbles. We have 3 green marbles and 7 orange marbles, so the total is 3 + 7 = 10 marbles.
Step 2: Calculate the probability of drawing the first green marble. This is the number of green marbles divided by the total number of marbles, which is 3/10.
Step 3: After drawing one green marble, we have 2 green marbles left and a total of 9 marbles left. So, the probability of drawing a second green marble is 2/9.
Step 4: The probability of both events happening (drawing two green marbles in a row) is the product of the probabilities of each event. So, we multiply the two probabilities we calculated: (3/10) * (2/9) = 6/90 = 1/15.
So, the correct answer is a. 1/15.
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