Find the odds for and the odds against the event rolling a fair die and getting a 4 comma a 5 comma or a 2.
a. the odds for the event are
nothing to
nothing.

The odds in favor are 3:3 which reduces to 1:1

There are 3 ways to get what we want, which is 4, 5 or 2. There are 3 ways to get what we don't want (1,3,or 6). So we list those two values as a ratio like so 3:3, which reduces to 1:1 after you divide both parts by 3.

Here's another example. If we wanted to know the odds in favor of rolling a 5 or 6, then the answer would be 2:4 which reduces to 1:2. This is because there are 2 ways to get what we want (rolling a 5 or 6) and 4 ways to get what we don't want (rolling either 1,2,3, or 4). The number of events we favor is listed first when it comes to "odds in favor" problems.

we are given

amount deposited =$250

so,

p=$250

accrues 2% annually

so, r=2%

or r=0.02

now, we can use formula

a is amount after t years

we are given

a=282

so, we can set them equal

and then we can solve for t

[tex]t=6.08233years[/