Ants
Orkin says the number one pest is Ants.
According to Orkin the #1 Pest problem in America are Ants.
Prob of heads = 1/2 Prob of 3 = 1/6 Prob of both = 1/2 x 1/6 = 1/12
It is 1 - Prob(No even numbers in 10 throws) = 1 - [Prob(Not an even number)]10 = 1 - (1/2)10 = 1 - 1/1024 = 1023/1024 or 0.9990 So you are almost certain to get an even number.
Prob(Rolling a number greater than 2) = 1 - Prob(Not rolling a number greater than 2 on either die) = 1 - Prob(Rolling a number less than or equal to 2 on both dice) = 1 - Prob(Rolling a number less than or equal to 2 on a die)2 = 1 - (1/3)2 = 8/9
Prob( Number on one die is larger than that on the other) = 1 - Prob(Number on both dice is the same). If the two 1s are distinguished as 1 and 1', then the favourable outcomes are (1,1), (1,1'), (1',1), (1',1'), (2,2), (3,3), (5,5) and (8,8) - eight of them in all. So 1 - Prob(Number on both dice is the same) = 1 - 8/36 = 1 - 2/9 = 7/9
Prob = 1/2 * 1/2 = 1/4
expected number = number of toss time 1/6. each face has prob to shown equally 1/6.
If two fair number cubes are rolled, the answers are: Prob(7) = 6/36 = 1/6 Prob(11) = 2/36 = 1/18.
Prob(Cube = 4) = 1/6Prob(Coin = H) = 1/2.Prob(Cube = 4) = 1/6Prob(Coin = H) = 1/2.Prob(Cube = 4) = 1/6Prob(Coin = H) = 1/2.Prob(Cube = 4) = 1/6Prob(Coin = H) = 1/2.
It is 1 - prob(it does not rain today and tomorrow)= 1 - prob(it does not rain today)*prob(it does not rain tomorrow) = 1 - [1- prob(it does rain today)]*[1 - prob(it does rain tomorrow)] = 1 - [1 - 0.8]*[1 - 0.5] = 1 - 0.2*0.5 = 1 - 0.1 = 0.9
The first step is to create the write out the probability space. For each possible product, list the values on each die that will give that product. Each such outcome has a probability of 1/36 and so you can calculate the probability of each of the numbers on the card as follows: 1: (1,1) prob = 1/36 2: (1, 2), (2, 1) prob = 2/36 3: (1, 3), (3, 1) prob = 2/36 4: (1, 4), (2, 2), (4, 1) prob = 3/36 5: (1, 5), (5, 1) prob = 2/36 6: (1, 6), (2, 3), (3, 2), (6, 1) prob = 4/36 8: (2, 4), (4, 2) prob = 2/36 9: (3, 3) prob = 1/36 10: (2, 5), (5, 2) prob = 2/36 12: (2, 6), (3, 4), (4, 3), (6, 2) prob = 4/36 15: (3, 5), (5, 3) prob = 2/36 16: (4, 4) prob = 1/36 18: (3, 6), (6, 3) prob = 2/36 20: (4, 5), (5, 4) prob = 2/36 24: (4, 6), (6, 4) prob = 2/36 25: (5, 5) prob = 1/36 30: (5, 6), (6, 5) prob = 2/36 36: (6, 6) prob = 1/36