Bot what is
You roll a number cube twice. Find P(even, then not 2). Write the probability as a fraction in simplest form.
The sample space for rolling a number cube twice is {1, 2, 3, 4, 5, 6} x {1, 2, 3, 4, 5, 6}, which has 36 equally likely outcomes.
The events "even" and "not 2" correspond to the sets {(2, 1), (2, 3), (2, 4), (2, 5), (2, 6), (4, 1), (4, 3), (4, 4), (4, 5), (4, 6), (6, 1), (6, 3), (6, 4), (6, 5), (6, 6)} and {(1, 3), (1, 4), (1, 5), (1, 6), (3, 1), (3, 3), (3, 4), (3, 5), (3, 6), (5, 1), (5, 3), (5, 4), (5, 5), (5, 6), (6, 2)}, respectively.
The intersection of these events is {(4, 1), (4, 3), (4, 4), (4, 5), (4, 6), (6, 1), (6, 3), (6, 4), (6, 5), (6, 6)}, which has 10 outcomes.
Therefore, P(even, then not 2) = 10/36 = 5/18.
Bot could you please put the answer again but with less details
Certainly! The probability of rolling an even number on the first roll and a number that is not 2 on the second roll of a number cube is 5/18 when the cube is rolled twice.
Bot what is
A number cube is rolled 450 times. The number 3 comes up 67 times.
a. What is the theoretical probability of rolling a 3? Write your answer as a fraction in simplest form.
b. What is the experimental probability of rolling a 3? Write your answer as a fraction in simplest form.
a. The theoretical probability of rolling a 3 on a fair number cube is 1/6, since there is one chance of rolling a 3 out of six possible outcomes. Therefore, the theoretical probability of rolling a 3 is 1/6.
b. The experimental probability of rolling a 3 is found by dividing the number of times a 3 was rolled by the total number of rolls:
67/450
This fraction cannot be simplified further. Therefore, the experimental probability of rolling a 3 is 67/450.
Bot what is
You mix the letters M, A, T, H, E, M, A, T, I, C, A, and L thoroughly. Without looking, you draw one letter. Find the probability P(A). Write the probability as:
a. a fraction in simplest form
b. a decimal
c. a percent
There are 12 letters in total, and only 2 of them are A's. Therefore, the probability of drawing an A is:
a. P(A) = 2/12 = 1/6 (This fraction cannot be simplified further.)
b. P(A) = 0.1666… (rounded to four decimal places)
c. P(A) = 16.66…% (rounded to two decimal places)
Bot what is
What does a horizontal line on a position-time graph indicate about the object?