Abag of marbles has 12 red, 7 yellow, 5 blue and 1 white. find the probability of selecting 4 marbles from the bag where all 4 are red.

There are 25 marbles: (12 red, 7 yellow, 5 blue, 1 white)

The probability of the first marble being red is 12/25 because there are 12 red marbles still available and no marbles are missing

The probability of the second marble being red is 11/24 because only 11 red marbles are available and 1 marble has already been selected from the pile

The probability of the third marble being red is 10/23 because only 10 red marbles are available and 2 marbles have already been selected from the pile

The probability of the fourth marble being red is 9/22 because only 9 red marbles are available and 3 marbles have already been selected from the pile

Since we are interested in all of these events occurring simultaneously, we must multiply the probability of all 4 events, like so:

Solving for this we are left with:

answer set (b) 0.5, 3/4 80% is in order from least to greatest.  

step-by-step explanation:

in order to compare rational numbers to each other, it is much easier if they are in the same form.   typically, the best form in which to evaluate rational numbers is in decimals.   in order to convert a percent to a decimal, you would divide the given percentage by 100.   you can also accomplish the conversion by moving the decimal point over two places to the left.   for example, the decimal value of 80% is 80/100, or 0.8.   in order to convert a fraction to a decimal, you need to divide the numerator by the denominator.   for example, 3/4 is 0.75.   so, for choice (b) 0.5 3/4 (0.75), 80% (0.8) is the only choice in which the numbers are in order from least to greatest.  

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step-by-step explanation: