A number is chosen at random from 1 to 50. Find the probability of selecting numbers greater than 6 and less than 18.
Question
A number is chosen at random from 1 to 50.
Find the probability of selecting numbers greater than 6 and less than 18.
Solution
To find the probability of selecting a number greater than 6 and less than 18, we first need to determine the total number of outcomes that satisfy this condition.
The numbers greater than 6 and less than 18 are: 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17. So, there are 11 numbers that satisfy this condition.
The total number of possible outcomes when choosing a number from 1 to 50 is 50.
The probability of an event is given by the ratio of the number of favorable outcomes to the total number of outcomes.
So, the probability of selecting a number greater than 6 and less than 18 is 11/50 = 0.22.
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