Problem 1.1: If a dice is rolled once, what is the probability that it will show an even number? An odd number? [Solution]

Problem 1.2: If a dice is rolled once, what is the probability that it will show a prime number (1 is not prime)? [Solution]

Problem 1.3: If a dice is rolled once, what is the probability that it will show a multiple of 3? [Solution]

Problem 1.4: If a dice is rolled once, what is the probability that it will show a multiple of 1? A multiple of 7? [Solution]

Problem 1.5: If a coin is flipped twice, what is the probability that it will land heads once and tails once? [Solution]

Problem 1.6: If a coin is flipped twice, what is the probability that it will land heads at least once? [Solution]

Problem 1.7: A bag contains 4 white counters, 6 black counters, and 1 green counter. What is the probability of drawing:
a) A white counter?
b) A black counter?
c) A green counter?
d) A white counter or a black counter?
e) A white counter or a green counter?
[Solution]

Problem 1.8: A deck of cards contains 52 cards, 13 from each suit. If a card is flipped over, what is the probability that it is a spade? That it is a face card (J, Q, K) of any suit?
[Solution]