Find the probability of the following if there are 30 students in the class who have been numbered and you use a calculator to generate random numbers between 1 and 30.
A number less than 10.
Pr(<10)=9/30
Three blue and five red balloons are each tied to a string and the strings are held together. If one of the strings is selected at random, determine the odds against the balloon being blue.
To find the probability of generating a number less than 10, we need to determine the number of favorable outcomes and the total number of possible outcomes.
1. Determine the number of favorable outcomes:
There are 9 numbers less than 10, which are 1, 2, 3, 4, 5, 6, 7, 8, and 9.
2. Determine the total number of possible outcomes:
Since the calculator generates random numbers between 1 and 30, the total number of possible outcomes is 30.
3. Calculate the probability:
Probability is calculated by dividing the number of favorable outcomes by the total number of possible outcomes.
Probability = Number of favorable outcomes / Total number of possible outcomes.
In this case:
Probability = 9 (favorable outcomes) / 30 (total possible outcomes).
Simplifying the fraction, the probability of generating a number less than 10 is:
Probability = 3 / 10, which can also be expressed as 0.3 or 30%.
So, the probability of generating a number less than 10 is 30%.