5. A six sided number cube is tossed onto a table 25 times. The results are shown below. Number on die
Number of times
rolled out of 25
1
.
OWN
III
MINI
11
What is the theoretical probability of a 5 or 6?
_Answer as a fraction. (5 pts)
What is the experimental probability 5 or 6?
Answer as a fraction. (5 pts)

Answers:

Theoretical probability of 5 or 6 is 1/3

Experimental probability of 5 or 6 is 9/25

Explanation:

For the theoretical probability, we ignore the table of values. We assume the cube will land on any of the 6 sides with equal probability.

So landing on any given side has probability 1/6. Landing on 5 or 6 has probability 2*(1/6) = 2/6 = 1/3.

For the experimental probability, we use the table. We see that '5' shows up twice, and '6' shows up seven times. In total, those values show up 2+7 = 9 times out of 25 total.

So that's how I got 9/25.

1

step-by-step explanation:

it's the only multiple of both and the least

f(2x−x2)=−3x2+6x−1

step-by-step explanation:

set up the composite function and evaluate.

f(2x−x2)=−3x2+6x−1