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asambeis [7]
3 years ago
7

Consider independently rolling two fair dice, one red and the other green. Let A be the event that the red die shows 3 dots, B b

e the event that the green die shows 4 dots, and C be the event that the total number of dots showing on the two dice is 7. Are these events pairwise independent (i.e., are A and B independent events, are A and C independent, and are B and C independent)
Mathematics
1 answer:
max2010maxim [7]3 years ago
4 0

Answer:

A & B are independent events. A & C, B & C are not independent events.

Step-by-step explanation:

Independent Events are the events, whose occurrences are completely unrelated to each other.

Event A 'Red dice getting 3' & Event B 'Green die getting 4' ; are unrelated to each other. The numbers on red dice & on green dice are not dependent on each other.

Event C 'Red & Green dice numbers showing sum = 7' is dependent on the numbers coming on red & green dice , i.e events A & events B respectively. So, event C is dependent on both events A & B.

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Comapre the ratios in table1 and table 2
wariber [46]

Answer:

Step-by-step explanation:

Table 1

3:5   , 6 : 10  ,  9 :15  ,   12 : 20

Table 2

7 : 10  , 14 : 20  ,  21 : 30  , 28 : 40

All table 1 Ratios  are equal

All table 2 Ratios are equal

3 : 5

= 6 : 10

6 < 7

=> 6 : 10 < 7 : 10

=> 3 : 5 < 7 : 10

=>  The ratio 3:5 is less than the ratio 7:10

All table 1 Ratios  are equal

All table 2 Ratios are equal

=> All table 1 Ratios  are less than the ratios in Table 2

The ratio 14:20 is greater than the ratio 9:15.

Learn more:

divide 40 into ratio of 5:2 - Brainly.in

brainly.in/question/7339521

5 0
3 years ago
Assume that two fair dice are rolled. First compute P(F) and then P(FIE). Explain why one would expect the
saveliy_v [14]

The probability that a three shows on at least one of the dice is 11/36.

<h3>How to calculate the probability?</h3>

It should be noted that of probability means the likelihood of the occurence of an event.

The probability that a three shows on at least one of the dice will be:

= 11/36

This can be seen from the table that is attached.

The probability that the total is less than 8 will be:

= 21/36

= 7/12

Here, there are 21 places where the total is less than 8.

Learn more about probability on:

brainly.com/question/24756209

#SPJ1

5 0
2 years ago
<img src="https://tex.z-dn.net/?f=%20%7B16%7D%5E%7B%20-%202x%7D%20%20%3D%2032" id="TexFormula1" title=" {16}^{ - 2x} = 32" alt=
Olegator [25]

Answer: x=−0.208333

Step-by-step explanation:

hope that helps enjoy

3 0
3 years ago
What must be the value of x so line A and B are parallel lines cut by transversal f?
Galina-37 [17]

Opposite exterior angles are congruent, so we can equate their measures and solve for x.

... 6x - 36 = 96

... x - 6 = 16 . . . . . . divide by 6

... x = 22 . . . . . . . . add 6


The value of x must be 22.

5 0
3 years ago
Read 2 more answers
How to do problem 17
steposvetlana [31]
The value of n would be 5.
plugging in 5 and solving gives you the square root of 81 and the square root of 36. these would give you answers of 9 and 6 making it rational.

if this helped please give brainliest!
6 0
3 years ago
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