Question

1. you go to an ice cream shop and take a look at the menu before ordering. what are the possible combinations of your order if you can get a cup or cone, single, double, or triple scoop, chocolate, vanilla, strawberry, or swirl, and with or without whip cream?
2. you go to buy a car from a used lot. the only options available for the 6 different models on the lot are: automatic or manual, 3 different types of stereo equipment, with or without a sunroof, and with or without ac. how many different options do you have?

inclusive vs. mutually exclusive events
for any event a, p(a) + p(a) = _____, that is p(a) = _____ - p(a).

1. suppose that an event a has probability of $\frac{3}{8}$. what is p(a)?
2. suppose that the probability of snow is 0.58. what is the probability that it will not snow?

if a and b are mutually exclusive events, then p(a or b) = p(a) + p(b). and if a and b are inclusive events, then p(a or b) = p(a) + p(b) - p(a ∩ b).
a card is chosen from a well - shuffled deck of 52 cards.
what is the probability that the card will be:

1. a king or a queen?
2. a red jack or a black king?
3. a face card or a card with a prime number?
4. an even card or a red card?
5. a spade or a jack?

Explanation:

Answer:

(21) 24
(22) 144
(Inclusive vs. Mutually Exclusive Events) 1; 1
(30) \(\frac{5}{8}\)
(31) 0.42
(32) \(\frac{2}{13}\)
(33) \(\frac{1}{13}\)
(34) \(\frac{25}{52}\)
(35) \(\frac{3}{4}\)
(36) \(\frac{4}{13}\)