A number is chosen at rendom from 1-50. Find the probability of selecting numbers greater than 19.
(50-19)/50 = ?
21
To find the probability of selecting numbers greater than 19, we need to determine two things:
1. The total number of possible outcomes (sample space).
2. The number of favorable outcomes (numbers greater than 19).
Step 1: Determine the total number of possible outcomes.
The given range is from 1 to 50. Therefore, the total number of possible outcomes is 50 - 1 + 1 = 50.
Step 2: Determine the number of favorable outcomes.
In this case, we need to find the number of numbers greater than 19 within the given range.
The numbers greater than 19 are: 20, 21, 22, ..., 50.
To find the number of numbers in this range, we subtract the starting number (19) from the highest number in the range (50) and add 1:
50 - 19 + 1 = 32.
Step 3: Calculate the probability.
The probability is given by the number of favorable outcomes divided by the total number of possible outcomes.
Probability = Number of favorable outcomes / Total number of possible outcomes.
Probability = 32 / 50.
Simplifying the fraction, we have:
Probability = 16 / 25.
Therefore, the probability of selecting a number greater than 19 from the range 1-50 is 16/25 or 0.64 (64%).