When rolling a number cube numbered 1 to 6, how would you describe the chances of rolling a number greater than or equal to 3 versus rolling a number less than 3? A. more likely to roll a number greater than or equal to 3 B. more likely to roll a number less than 3 C. equally likely events D. none of the above

A. more likely to roll a number greater than or equal to 3

Step-by-step explanation:

Take a look at the probabilities for each:

Greater than or equal to 3:

You can roll a 3, 4, 5, or 6

Less than 3:

You can roll a 1 or a 2.

To find probability, divide how many ways there are to get what you want by the number of total ways to get something at all.

For freater than or equal to 3:

You can roll a 3, 4, 5, or 6 to fulfill this, so 4 things that you want.

You could roll a 1, 2, 3, 4, 5, or 6 on this number cube, so 6 possibilities.

Divide 4 by 6, and you get 2/3.

For less than 3:

You can roll a 1 or a 2 to fulfill this, so 2 things you want.

Divide by 6 (again) total possibilities, and you get 1/3.

2/3 is more than 1/3, so the first possibility is more likely than the second.

a) one student is chosen from classroom a, then a student is chosen from classroom b.  

step-by-step explanation:

independent events are ones in which the probability of one event does not affect the probability of the second event.

one student is chosen from classroom a; this does not affect the chances of choosing a student from classroom b.   this makes these independent events.

when one card is chosen from a standard deck and then set aside before a second card is chosen, the probability of the second card being chosen changes.   this makes them dependent events.

when one student is chosen from classroom a and then a second student is chosen from classroom a, the probability of choosing the second student changes.   this makes them dependent events.

when a letter is chosen from the alphabet and then a second letter is chosen, the probability of choosing the second letter changes.   this makes them dependent events.

the answer is 13

step-by-step explanation:

5*5=25

12*12=144

25+144=169

169^2=13