Suppose you buy a bag filled with colored marbles. The probability that the bag
has one or more pink marble is . The probability of the bag having at least one
brown marble is 0 . Check ALL boxes that are true.
It is certain that the bag has at least one pink marble.
It is unlikely that the bag has at least one pink marble.
It is impossible that the bag has one pink marble.
It is certain that the bag has a brown marble.
It is unlikely that the bag has a brown marble.
It is impossible that the bag has a brown marble.

Ask by Martin Ingram. in the United States

Mar 29,2025

Question

Suppose you buy a bag filled with colored marbles. The probability that the bag
has one or more pink marble is . The probability of the bag having at least one
brown marble is 0 . Check ALL boxes that are true.
It is certain that the bag has at least one pink marble.
It is unlikely that the bag has at least one pink marble.
It is impossible that the bag has one pink marble.
It is certain that the bag has a brown marble.
It is unlikely that the bag has a brown marble.
It is impossible that the bag has a brown marble.

Ask by Martin Ingram. in the United States

Mar 29,2025

UpStudy AI · Accepted Answer

We are given two probabilities: 
1. The probability of having one or more pink marbles is $$ \frac{1}{5} $$.
2. The probability of having at least one brown marble is $$ 0 $$.

From this information, we can analyze the statements provided.
1. **It is certain that the bag has at least one pink marble.**  
   - This is **false** because the probability of having at least one pink marble is $$ \frac{1}{5} $$, which means it is not certain.

2. **It is unlikely that the bag has at least one pink marble.**  
   - This is **true** because a probability of $$ \frac{1}{5} $$ indicates that it is more likely not to have a pink marble.

3. **It is impossible that the bag has one pink marble.**  
   - This is **false** because a probability of $$ \frac{1}{5} $$ means it is possible to have one pink marble.

4. **It is certain that the bag has a brown marble.**  
   - This is **false** because the probability of having at least one brown marble is $$ 0 $$, indicating it is impossible.

5. **It is unlikely that the bag has a brown marble.**  
   - This is **true** because the probability of having at least one brown marble is $$ 0 $$, meaning it is unlikely (in fact, impossible).

6. **It is impossible that the bag has a brown marble.**  
   - This is **true** because the probability of having at least one brown marble is $$ 0 $$, indicating it is impossible.
The true statements are: - It is unlikely that the bag has at least one pink marble. - It is unlikely that the bag has a brown marble. - It is impossible that the bag has a brown marble.

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