these marbles are placed in a bag and two of them are randomly drawn what is the probability of drawing two pink marbles if the first one is placed back in the bag before the second draw thebag has 10 marbles.2 yellow.3 pink.5 blue
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What is the probability of selecting a purple marble and then a white marble?
What is the probability of selecting two white marbles?
Is there a greater chance of selecting two white marbles in a row or two purple marbles in a row? Show your work.
What is the probability of selecting a purple marble and then a white marble?
What is the probability of selecting two white marbles?
Is there a greater chance of selecting two white marbles in a row or two purple marbles in a row? Show your work.
What is the probability of selecting a purple marble and then a white marble?
What is the probability of selecting two white marbles?
Is there a greater chance of selecting two white marbles in a row or two purple marbles in a row? Show your work.
What is the probability of selecting a purple marble and then a white marble?
What is the probability of selecting two white marbles?
Is there a greater chance of selecting two white marbles in a row or two purple marbles in a row? Show your work.
To determine the probability of drawing two pink marbles when the first marble is placed back in the bag before the second draw, you need to calculate the probability of drawing a pink marble on the first draw, and then multiply it by the probability of drawing another pink marble on the second draw.
Let's break it down step by step:
Step 1: Calculate the probability of drawing a pink marble on the first draw.
First, we need to determine the total number of marbles in the bag, which is 10.
Out of these 10 marbles, 3 are pink.
So, the probability of drawing a pink marble on the first draw is: 3 (number of pink marbles) / 10 (number of total marbles) = 3/10.
Step 2: Assuming the first marble is replaced back in the bag, calculate the probability of drawing another pink marble on the second draw.
Since we replaced the first marble back in the bag, the total number of marbles for the second draw remains the same: 10.
Now, the number of pink marbles left in the bag is 3, as we replaced the first pink marble back in the bag.
So, the probability of drawing a second pink marble is: 3 (number of pink marbles left) / 10 (number of total marbles) = 3/10.
Step 3: Multiply the probabilities from steps 1 and 2.
To calculate the probability of both events happening (drawing pink on the first and second draw), we multiply the probabilities together:
P(drawing two pink marbles) = (3/10) * (3/10) = 9/100
Therefore, the probability of drawing two pink marbles, with replacement, is 9/100.
Note: If the first marble had not been replaced back in the bag before drawing the second marble, the probability would have been different.