5/6,3/8 The LCD is 2 24 48
1 answer:
<h3>The least common denominator is 24</h3>
<em><u>Solution:</u></em>
Given that,
We have to find the least common denominator
The denominators are 6, 8
List all prime factors for each number.
Prime Factorization of 6 is:
2 x 3
Prime Factorization of 8 is:
2 x 2 x 2
For each prime factor, find where it occurs most often as a factor and write it that many times in a new list.
2, 2, 2, 3
Multiply these factors together to find the LCM
LCM = 2 x 2 x 2 x 3 = 24
Thus the least common denominator is 24
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Answer: a) There are 42% chances that both units will meet their objectives.
b) There are 88% chances that one or the other but not both of the units will be successful.
Step-by-step explanation:
Since we have given that
Probability that the Red unit will successfully meet its objectives = 60% = P(R)
Probability that Blue unit will successfully meet its objectives = 70% = P(B)
Probability that only Red unit will be successful = P(only Red) = 18%
As we know that
Hence, there are 42% chances that both units will meet their objectives.
the probability that one or the other but not both of the units will be successful is given by
Hence, there are 88% chances that one or the other but not both of the units will be successful.