A group of friends are playing a game in which they roll a 4-sided pyramid and pull a marble from a bag of 4 marbles. The faces of the pyramid are the same size and numbered 1 to 4. Each marble is a different color. The colors are green, blue, orange, and purple. The friend that rolls the number 3 on the pyramid and pulls a blue marble wins a point. The results from the first 12 turns are listed: 4 and blue 1 and blue 3 and orange 2 and green 3 and blue 2 and purple 2 and purple 1 and purple 4 and blue 1 and green 4 and orange 3 and green Compare the theoretical and experimental probability of rolling a 3 on the pyramid and pulling a blue marble by dragging and dropping the descriptions into the box it matches.

Step-by-step explanation:

If the friends roll a 4-sided pyramid and pull a marble from a bag of 4 marbles.

THEORETICAL PROBABILITY

P(Picking a blue Marble)

P(Rolling a 3)

P(Picking a blue Marble and Rolling a 3)

EXPERIMENTAL PROBABILITY

The outcomes from the first 12 turns are:

n(3 and blue)=1

P(Picking a blue Marble and Rolling a 3)

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.