Two events E and F are such that :
`P(E)=0.6,P(F)=0.2` and `P(E uu F)=0.68`.
Then E and F are independent events.

Answer

To determine whether the events E and F are independent, we can follow these steps:

### Step 1: Write down the given probabilities.
We have the following probabilities:
- \( P(E) = 0.6 \)
- \( P(F) = 0.2 \)
- \( P(E \cup F) = 0.68 \)

### Step 2: Use the formula for the probability of the union of two events.
The formula for the probability of the union of two events is:
\[ P(E \cup F) = P(E) + P(F) - P(E \cap F) \]
Substituting the known values into this formula gives us:
\[ 0.68 = 0.6 + 0.2 - P(E \cap F) \]

### Step 3: Simplify the equation.
Now, simplify the equation:
\[ 0.68 = 0.8 - P(E \cap F) \]

### Step 4: Solve for \( P(E \cap F) \).
Rearranging the equation to find \( P(E \cap F) \):
\[ P(E \cap F) = 0.8 - 0.68 = 0.12 \]

### Step 5: Check for independence.
For events E and F to be independent, the following condition must hold:
\[ P(E \cap F) = P(E) \cdot P(F) \]
Calculating \( P(E) \cdot P(F) \):
\[ P(E) \cdot P(F) = 0.6 \cdot 0.2 = 0.12 \]

### Step 6: Compare the two probabilities.
We found that:
\[ P(E \cap F) = 0.12 \]
and
\[ P(E) \cdot P(F) = 0.12 \]
Since both values are equal, we conclude that E and F are independent events.

### Conclusion:
The statement that E and F are independent events is **true**.

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