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4 years ago

John rolls a six-sided number cube twice. What is the probability of getting an even number and then an odd number?

Mathematics

2 answers:

professor190 [17]4 years ago

8 0

Multiply 3/6 x 3/6 and then reduce

Paladinen [302]4 years ago

5 0

Answer: $\dfrac{1}{4}$

Step-by-step explanation:

Given : John rolls a six-sided number cube twice.

Total number of outcomes on a fair cube = 6

When we roll two dices , then the total number of outcomes :-

$6\times6=36$

Number of favorable outcomes of getting an even number and then an odd number :-

$3\times3=9$ [since there are 3 odd and 3 even numbers on it]

Now, the probability of getting an even number and then an odd number =

$\dfrac{9}{36}=\dfrac{1}{4}$

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3 years ago

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A large community college has professors and lecturers. The total number of faculty is 228. The school reported that they have 5

Ivan

The large community college has 76 professors and 212 lecturers

Solution:

Given that,

Total number of faculty = 228

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They have 5 professors for every 14 lecturers.

Then, ratio of professors to lecturers is 5 : 14

Expressing the ratio as fractions, we get,

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Plug in the values of number of professors and lecturers

$\rightarrow \frac{p}{288-p}=\frac{5}{14}$

$\begin{array}{l}{\rightarrow 14 \times p=(288-p) \times 5} \\\\ {\rightarrow 14 p=1440-5 p} \\\\ {\rightarrow 14 p+5 p=1440} \\\\ {\rightarrow 19 p=1440} \\\\ {\rightarrow p=75.789 \approx 76}\end{array}$

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