Suyash needs his calculator for his mathematics lesson . It is either in his pocket , bag or locker . The probability it is in his pocket is 0.20 , the probability it is in his bag is 0.58 . What is the probability that he will have the calculator for the lesson,

Answer

To find the probability that Suyash will have his calculator for the lesson, we need to consider the probabilities of it being in his pocket or in his bag. The calculator can be in one of three places: his pocket, his bag, or his locker.

### Step-by-Step Solution:

1. **Identify the given probabilities:**
- Probability that the calculator is in his pocket (P(P)) = 0.20
- Probability that the calculator is in his bag (P(B)) = 0.58

2. **Determine the probability that the calculator is in the locker:**
- Since the calculator must be in one of the three locations (pocket, bag, or locker), we can find the probability that it is in the locker (P(L)) by using the fact that the total probability must equal 1.
- Therefore, P(L) = 1 - P(P) - P(B)
- Substitute the known values:
\[ P(L) = 1 - 0.20 - 0.58 = 1 - 0.78 = 0.22 \]

3. **Calculate the probability that Suyash has the calculator:**
- Suyash will have the calculator if it is either in his pocket or in his bag.
- Thus, the probability that he has the calculator (P(Has)) is given by:
\[ P(Has) = P(P) + P(B) \]
- Substitute the values:
\[ P(Has) = 0.20 + 0.58 = 0.78 \]

4. **Conclusion:**
- The probability that Suyash will have the calculator for the lesson is 0.78.

### Final Answer:
The probability that Suyash will have the calculator for the lesson is **0.78**.