Answer :
To find the probability that the number drawn is prime from the tickets numbered 1 to 40, we first need to identify the prime numbers within that range. Prime numbers are numbers greater than 1 that are only divisible by 1 and themselves.
The prime numbers between 1 and 40 are: 2, 3, 5, 7, 11, 13, 17, 19, 23, 29, 31, and 37.
Next, we determine the total number of possible outcomes, which in this case is the total number of tickets, which is 40.
Now, we calculate the number of favorable outcomes, which are the prime numbers we identified earlier. There are 12 prime numbers between 1 and 40.
To find the probability, we use the formula:
\[ \text{Probability} = \frac{\text{Number of Favorable Outcomes}}{\text{Total Number of Outcomes}} \]
Substitute the values:
\[ \text{Probability} = \frac{12}{40} \]
Simplify the fraction:
\[ \text{Probability} = \frac{3}{10} \]
Therefore, the probability that the number drawn is prime from the tickets numbered 1 to 40 is \(\frac{3}{10}\) or 0.3.
