1 2 3 4 5 6 7
2 3 4 5 6 7 8
3 4 5 6 7 8 9
4 5 6 7 8 9 10
5 6 7 8 9 10 11
6 7 8 9 10 11 12
In a roll of a pair of fair dice, what is the probability of the outcome being either a multiple of 3 or an even number? Are these events mutually exclusive?
, mutually exclusive
, not mutually exclusive
, mutually exclusive
, not mutually exclusive
______________
-1 2/5÷ -1 3/5
_____________
4 ÷ −4 4/7
_____________
−7/10 ÷ 4/5
Show your work pls
0.5816 = 58.16% probability that it rains there in June at least 9 times in a decade.
For each June 9 in Florida, there are only two possible outcomes. Either it rains, or it does not. The probability of raining on June 9 of an year is independent of rain on June 9 on any other year, which means that the binomial probability distribution is used to solve this question.
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Binomial probability distribution
The binomial probability is the probability of exactly x successes on n repeated trials, and X can only have two outcomes.
In which is the number of different combinations of x objects from a set of n elements, given by the following formula.
And p is the probability of X happening.
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What is the probability that it rains there in June at least 9 times in a decade?
This is:
In which
Thus
0.5816 = 58.16% probability that it rains there in June at least 9 times in a decade.
A similar question is found at brainly.com/question/9631195
The two numbers are 6 and 15; since 6 is 2/5 of 15 and their sum is 21.
In this problem, we want to find two numbers, which we'll call x and y, such that their sum is 21. That is, x + y = 21. Additionally, we know that the first number is 2/5 of the second number, or x = 2/5 * y.
First, solve for x in the equation x = 2/5 * y, we get x = 2y/5.
Next, substitute x in the equation x + y = 21 by 2y/5 to get 2y/5 + y = 21. When you solve that, you'll find y = 15. Then substitute y = 15 in the equation x = 2/5 * y, you'll get x = 6.
So, the two numbers are 6 and 15.
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