Find the odds for and the odds against the event rolling a fair die and getting a 2 comma a 4 comma a 5 comma or a 3.

The event of rolling a fair die and getting 2 or 4 or 5 or 3 has 4 possible outcomes. Either one can get 2 or 4 or 5 or 3

Number of possible ways of getting favorable outcome =4

Now remaining outcomes which are not included into event are getting 1 or 6. There are 2 outcomes.

Number of possible ways of getting unfavorable outcome =2

Odds for the event = Number of ways getting favorable outcome / Number of ways getting unfavorable outcome

Odds for given event = 4 /2 = 2/1

Odds against eventSo the odds for event of rolling a fair die and getting 2 or 4 or 5 or 3 is 2:1

Odds against event = Number of ways of getting unfavorable event / Number of ways of getting favorable event

= 2/4

=1/2

So the odds against event of rolling a fair die and getting 2 or 4 or 5 or 3 is 1:2

step-by-step explanation:

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: