Given that for simplicity that the number of children in a family is 1, 2, 3, or 4, with probability 1/4 each. little joe (a boy) has no brothers. what is the probability that he is an only child? (set the problem up carefully. remember to define the sample space, and any events that you use! )

Step-by-step explanation:

Given : The number of children in a family is 1, 2, 3, or 4.

Little Joe (a boy) has no brothers. But he may have sisters.

The sample space for the number of child in Joe's family : {B, BG, BGG, BGGG}, where G represents girl and B represents boys.

Then , for the probability that he is an only child, favorable outcome = B

Thus, the probability that he is an only child is given by :-

Hence, the probability that he is an only child =

when rotating a figure 180 degrees, imagine that you are able to take the figure and turn it clockwise or counterclockwise around a center point. to rotate a figure 180 degrees, you will need to apply the rule (x, y) → (-x, -y). start by using a coordinate grid with coordinates for each vertex of the figure. the center point of the coordinate grid is located at (0, 0), which is what you will rotate the figure around. write down the original coordinates of the shape you are going to rotate. then, apply the rule. for example, coordinate (1, 2) becomes (-1, -2). another example would be, coordinate (-4, -2) becoming (4, 2). after you change each original coordinate to the rotated coordinate, you will draw your new figure.

step-by-step explanation: