Probability in math

Question

1. Find the probability of getting 3 heads when tossing a die thrice.

2. A coin is tossed once and a die is also rolled once. What is the probability of getting a head and the number 6?

3. If a coin is tossed thrice, what is the probability of getting at least 2 heads?

4. Find the probability of raining today.

5. What is probability of getting a red card or black card in a regular deck of cards?

Answer 1

1. probability of getting 3 heads in three tosses of a coin is 1/2 * 1/2 * 1/2 = 1/8
2. probability of a head is 1/2 and of number 6 is 1/6 and of both head and number 6 is 1/2 * 1/6 = 1/12
3. possible outcomes of tossing coin three times:

HHH, TTT, HTH, THH, HHT, TTH, THT, HTT. 8 possible outcomes, 4 have at least 2 heads, so probability is 4/8 or 1/2

4. need more information than that to find probability for this problem

5 all cards are either red or black, so probability is 1 of drawing a red or black card in a single pick from a deck of cards.