A bag contains 2 white marbles and 7 purple marbles. Two marbles are drawn at random. One marble is drawn and not replaced. Then a second marble is drawn.
1. What is the probability of selecting a purple marble and then a white marble?
2. What is the probability of selecting two white marbles?
3. Is there a greater chance of selecting two white marbles in a row or two purple marbles in a row?
Show your work.
i don't get this :(
If the events are independent, the probability of both/all events occurring is determined by multiplying the probabilities of the individual events.
1. P(purple) = 7/9
Once purple is selected, P (white) = 2/(9-1)
Multiply.
2, 3. Use similar process and compare answers.
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.
The two figures shown below are congruent. Identify the corresponding sides and angles.
The two figures shown below are congruent. Identify the corresponding sides and angles.
The two figures shown below are congruent. Identify the corresponding sides and angles.
The two figures shown below are congruent. Identify the corresponding sides and angles.
The two figures shown below are congruent. Identify the corresponding sides and angles.
The two figures shown below are congruent. Identify the corresponding sides and angles.
The two figures shown below are congruent. Identify the corresponding sides and angles.
To answer these questions, we need to find the probabilities of various outcomes by using the concept of probability. Probability is calculated by dividing the number of favorable outcomes by the total number of possible outcomes.
1. Probability of selecting a purple marble and then a white marble:
The probability of selecting a purple marble on the first draw is given by the number of purple marbles divided by the total number of marbles. In this case, it is 7/9 because there are 7 purple marbles out of a total of 9 marbles.
After removing the first marble without replacement, there are now 8 marbles left, with 6 of them being purple and 2 white. The probability of selecting a white marble on the second draw is 2/8.
To find the probability of both events happening, we multiply the probabilities together: (7/9) * (2/8) = 14/72.
2. Probability of selecting two white marbles:
Similarly, the probability of selecting a white marble on the first draw is 2/9 because there are 2 white marbles out of a total of 9 marbles.
After removing the first marble without replacement, there is now 1 white marble left out of 8 remaining marbles. Therefore, the probability of selecting a white marble on the second draw is 1/8.
To find the probability of both events happening, we multiply the probabilities together: (2/9) * (1/8) = 2/72.
3. Comparing the probability of two white marbles in a row to two purple marbles in a row:
The probability of selecting two white marbles in a row is 2/72, as calculated above.
To find the probability of selecting two purple marbles in a row, we calculate the probability of selecting a purple marble on the first draw (7/9) and then multiply it by the probability of selecting another purple marble on the second draw without replacement.
Since the first selection removed one purple marble from a total of 9 marbles, the probability of selecting a purple marble on the second draw is 6/8.
To find the probability of both events happening, we multiply the probabilities together: (7/9) * (6/8) = 42/72.
Comparing the probabilities, we see that 2/72 < 42/72.
Therefore, there is a greater chance of selecting two purple marbles in a row compared to two white marbles in a row.