standard_description: Represent complex numbers on the complex plane in rectangular and polar form (including real and imaginary numbers), and explain why the rectangular and polar forms of a given complex number represent the same number.
problem_activity: Problem 1
You are in a diner and want to know if choosing cream or sugar are independent events, that is, if one depends on the other. Below is a Venn diagram that represents the number of people in the diner one morning. A random person is chosen.
[IMG]
Is this random person more likely to have cream in his coffee if he has sugar? Calculate the probability.
Is this random person more likely to have sugar in his coffee if he has cream? Calculate the probability
Problem 2
A coin is tossed and a single six-sided die is rolled. If landing on heads is represented by
$$H$$
and rolling a
$$3$$
is represented by
$$R$$
, determine if the following is true:
$$P(H \space and \space 3)=P(H)\cdot P(3)$$


aligns: no