Question

Type here to search This is a new version of the question. Make sure you start new workings. Calculator not allowed < Previous 9 Bookwork code: 3D The frequency tree below shows information about the paintings in an art gallery. նրապենական իր What is the probability that a painting chosen at random is framed? Give your answer as a fraction in its simplest form. 27 Oil painting X 5 Not oil painting 22 Framed 3 Unframed 2 4 Framed 15 Watch video Answer FPIC 4) 12:15 PF 01/12/20​

Answer 1

The probability of randomly choosing a framed painting from the art gallery is
`\( (22)/(25) \)` when considering the information provided in the frequency tree for framed and unframed paintings.

To find the probability that a randomly chosen painting is framed, you need to use the information provided in the frequency tree. The relevant information is in the "Framed" branch.

The frequency tree shows:

- 22 paintings are framed.

- 3 paintings are unframed.

The total number of paintings is the sum of framed and unframed:

`\[ 22 (\text{framed}) + 3 (\text{unframed}) = 25 \]`

Now, the probability of choosing a framed painting is the number of framed paintings divided by the total number of paintings:

`\[ \text{Probability} = \frac{\text{Number of Framed Paintings}}{\text{Total Number of Paintings}} \]`

`\[ \text{Probability} = (22)/(25) \]`

Therefore, the probability that a randomly chosen painting is framed is
`\( (22)/(25) \)` in its simplest form.