Welcome to the article There are two boxes containing only red and purple pens A pen is randomly chosen from each box Which of these events is most likely. On this page, you will learn the essential and logical steps to better understand the topic being discussed. We hope the information provided helps you gain valuable insights and is easy to follow. Let’s begin the discussion!
Answer :
1. Event 1: Choosing a red pen from Box B is most likely to occur.
2. Event 2: Choosing a purple pen from Box B is least likely to occur.
3. None of the provided events has a probability of 1 (certain).
4. An impossible event would be choosing a red pen from Box A or Box B.
5. Event: Choosing a purple pen from Box A has a probability greater than 1/3.
We have,
Box A - Purple Pens = 17, Red Pens = 6
Box B - Purple Pens = 11, Red Pens = 8
Most Likely to Occur:
Event 1: Choosing a red pen from Box B.
There are more red pens in Box B (8) compared to purple pens (11). So, Event 1 is most likely to occur.
Least Likely to Occur:
Event 2: Choosing a purple pen from Box B.
There are more red pens in Box B (8) than purple pens (11), making Event 2 less likely to occur.
Probability of 1 (Certain Event):
Event 3: Choosing a red pen from Box B.
Since Box B contains 8 red pens and 19 total pens (11 purple + 8 red), the probability of choosing a red pen from Box B is 8/19, which is less than 1. None of the provided events has a probability of 1.
Probability of θ (Impossible Event):
Event: Choosing a red pen from Box A or Box B.
If you mean by "θ" that the probability is impossible (i.e., the event cannot occur), then an impossible event would be choosing a red pen from Box A or Box B when there are clearly red pens in both boxes.
Probability of 3:
Event: Choosing a purple pen from Box A.
In Box A, there are 17 purple pens and 6 red pens. So, the probability of choosing a purple pen from Box A is 17/23, which is greater than 1/3.
To clarify, probability is expressed as a fraction between 0 (impossible) and 1 (certain), so events cannot have a probability of "1" or "θ" in standard probability notation. Instead, they have probabilities between 0 and 1.
Thus,
1. Event 1: Choosing a red pen from Box B is most likely to occur.
2. Event 2: Choosing a purple pen from Box B is least likely to occur.
3. None of the provided events has a probability of 1 (certain).
4. An impossible event would be choosing a red pen from Box A or Box B.
5. Event: Choosing a purple pen from Box A has a probability greater than 1/3.
Learn more about events and probability here:
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The complete question:
Which of these events is most likely to occur?
1.
a. Event 1: choosing a red pen from Box B.
b. Event 2: choosing a purple pen from Box A.
c. Event 3: choosing a red pen from Box A.
2.
Which of these events is least likely to occur?
a. Event 1: choosing a red pen from Box A.
b. Event 2: choosing a purple pen from Box B.
c. Event 3: choosing a red pen from Box B.
3. Name an event with either Box A or Box B where the probability would be 1 .
4. Name an event with either Box A or Box B where the probability would be θ.
5. Name an event with either Box A or Box B where the probability would be 3 .
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Rewritten by : Brahmana