What is the probability that a two-digit number selected at random has a tens digit less than its units digit
1 answer:
The probability that a two-digit number selected at random has a tens digit less than its units digit is 0.2667 (4/15).
There are 90 two-digit numbers (99-9). Of these, six numbers are divisible by 15 (15, 30, 45, 60, 75, 90). This is also divisible by 5. Therefore, the preferred case is 30-6 = 24. Therefore, the required probability is 24/90 = 4/15.
The probability of an event can be calculated by simply dividing the number of favorable results by the total number of possible results using a probabilistic expression. Whenever you are uncertain about the outcome of an event, you can talk about the probability of a particular outcome, that is, its potential.
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Answers with Explanation.
i. If we raise a number to an exponent of 1, we get the same number.
ii. If we raise 10 to an exponent of 2, it means we multiply 10 by itself two times.
iii. If we raise 10 to an exponent of 3, it means we multiply 10 by itself three times.
iv. If we raise 10 to an exponent of 4, it means we multiply 10 by itself four times.
v. If we raise 10 to an exponent of 5, it means we multiply 10 by itself five times.
vi. Recall that,
We apply this law of exponents to obtain,
vii. We apply
again to obtain,
i. If we raise a number to an exponent of 1, we get the same number.
ii. If we raise 10 to an exponent of 2, it means we multiply 10 by itself two times.
iii. If we raise 10 to an exponent of 3, it means we multiply 10 by itself three times.
iv. If we raise 10 to an exponent of 4, it means we multiply 10 by itself four times.
v. If we raise 10 to an exponent of 5, it means we multiply 10 by itself five times.
vi. Recall that,
We apply this law of exponents to obtain,
vii. We apply
again to obtain,