Probability worksheet with fruit and ball selection questions using likelihood terms.

Problem Analysis:

The image shows a basket containing the following fruits:
- Mangoes: 5
- Apples: 2
- Bananas: 2

We are tasked with determining the probabilities of selecting specific types of fruits from the basket using the terms: likely, impossible, certain, equally likely, less likely.

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Solution to Each Question:

#### 1. The probability of choosing a mango than an apple is:
- Total number of fruits: \( 5 \) (mangoes) + \( 2 \) (apples) + \( 2 \) (bananas) = \( 9 \).
- Probability of choosing a mango: \( \frac{5}{9} \).
- Probability of choosing an apple: \( \frac{2}{9} \).
- Since \( \frac{5}{9} > \frac{2}{9} \), it is more likely to choose a mango than an apple.

Answer: A. most likely

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#### 2. The probability of choosing a ripe banana than a mango is:
- Probability of choosing a ripe banana: \( \frac{2}{9} \).
- Probability of choosing a mango: \( \frac{5}{9} \).
- Since \( \frac{2}{9} < \frac{5}{9} \), it is less likely to choose a ripe banana than a mango.

Answer: B. less likely

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#### 3. The probability of choosing a ripe banana than an apple is:
- Probability of choosing a ripe banana: \( \frac{2}{9} \).
- Probability of choosing an apple: \( \frac{2}{9} \).
- Since both probabilities are equal, it is equally likely to choose a ripe banana or an apple.

Answer: C. equally likely

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#### 4. The probability of choosing an orange than a mango is:
- There are no oranges in the basket.
- Probability of choosing an orange: \( 0 \).
- Probability of choosing a mango: \( \frac{5}{9} \).
- Since there are no oranges, it is impossible to choose an orange.

Answer: B. impossible

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#### 5. The probability of choosing a green ball from the box is:
- The image does not show any balls or a box. Therefore, we cannot determine the probability of choosing a green ball.
- However, since the question asks about a "green ball" and there is no mention of balls in the image, it is reasonable to assume that the scenario is unrelated to the given basket of fruits.
- If we interpret this as a separate, undefined scenario, the probability of choosing a green ball from an empty or non-existent box is impossible.

Answer: B. impossible

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Final Answers:

1. A. most likely
2. B. less likely
3. C. equally likely
4. B. impossible
5. B. impossible

Boxed Final Answer:

\[
\boxed{\text{A, B, C, B, B}}
\]