Answer:
0.6545
Step-by-step explanation:
Let
be probability of being on time and
the probability of being satisfactory. We have conditional probability here since being satisfactory depends on being on time. Conditional probability states

where
is the probability of
given that
has occurred;
is the probability of
and
.
Rearranging, we have


Answer:
P(6) = 5
Step-by-step explanation:
The dice is cast 30 times (k = 30)
So if the big numbers apply, then you would expect the outcome to be evenly distributed, meaning
5 x 1
5 x 2
5 x 3
5 x 4
5 x 5
5 x 6
____ +
30 casts in total (evenly distributed over all numbers of the dice)
P(6) = 1/6 * 30
P(6) = 5
Sylvia is correct because a right triangle needs to have 1 right angle and 2 acute angles, it cannot have more than 1 right angle.