Suppose a bag contains 30 white marbles, 10 purple marbles, and 8 green marbles.
Question 1
One marble is randomly selected from the bag. In this situation, the probability of 1 could represent which event?
Responses
A selecting either a white or purple marbleselecting either a white or purple marble
B not selecting a yellow marblenot selecting a yellow marble
C selecting a green marbleselecting a green marble
D selecting a white marbleselecting a white marble
Question 2
Which BEST describes the probability of selecting a purple marble?
Responses
A CertainCertain
B ImpossibleImpossible
C LikelyLikely
D Not likelyNot likely
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Question 1: B) not selecting a yellow marble (there are no yellow marbles in the bag)
Question 2: D) Not likely (there are only 10 out of 48 marbles that are purple)
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I apologize, I made a mistake while answering the question. Here are the correct answers:
Question 1: B) not selecting a yellow marble (there are no yellow marbles in the bag)
Question 2: D) Not likely (there are only 10 out of 48 marbles that are purple)
Question 1: The probability of 1 could represent selecting either a white or purple marble. To determine this, we need to calculate the probability of selecting either a white or purple marble out of all the marbles in the bag.
To do this, we need to know the total number of marbles in the bag. In this case, there are 30 white marbles, 10 purple marbles, and 8 green marbles, which gives a total of 30 + 10 + 8 = 48 marbles.
Now, we can calculate the probability of selecting either a white or purple marble by dividing the number of white and purple marbles by the total number of marbles:
Probability = (Number of white marbles + Number of purple marbles) / Total number of marbles
Probability = (30 + 10) / 48
Probability = 40 / 48
Probability = 5 / 6
Therefore, the probability of 1 represents selecting either a white or purple marble.
Question 2: The BEST description of the probability of selecting a purple marble is "Not likely." To determine this, we need to compare the number of purple marbles to the total number of marbles in the bag.
Using the information given, we know that there are 10 purple marbles out of a total of 48 marbles. To calculate the probability of selecting a purple marble, we divide the number of purple marbles by the total number of marbles:
Probability = Number of purple marbles / Total number of marbles
Probability = 10 / 48
Simplifying, we can express this probability as a decimal or a fraction. In decimal form, the probability is approximately 0.2083. In fraction form, it is 5/24.
Since this probability is less than 0.5 (or 1/2), it is considered "Not likely" to select a purple marble. Therefore, the BEST description of the probability of selecting a purple marble is "Not likely."