A number cube with the numbers 1 through 6 is rolled. Find the given probability.
P(complement of 4)
A.) 1/6
B.) 5/6
C.) 2/6
D.) 4/6
The complement of 4 on a number cube would be all of the other numbers besides 4: 1, 2, 3, 5, and 6.
Therefore, the probability of rolling a number that is not 4 (the complement) would be:
P(complement of 4) = 5/6
So the answer is B.) 5/6.
which of the following is considered a dependent event
A. Flipping 2 coins
B. Rolling a number cube and spinning a spinner
C. Choosing a card from a deck, replacing it, and then choosing another card
D. Choosing a cookie at random, eating it, And then choosing another one at random
D. Choosing a cookie at random, eating it, and then choosing another one at random is considered a dependent event because the outcome of the first event (choosing a cookie and eating it) affects the probability of the second event (choosing another cookie). If you choose a chocolate chip cookie and eat it, and there are no more chocolate chip cookies left, then the probability of choosing another chocolate chip cookie is 0. Therefore, these events are not independent of each other.
which of the following is considered a independent event
A. Choosing one sock at random, putting it on, and then choosing another sock at random
B. Flipping a coin and rolling a number cube
C. Choosing students at random for basketball teams
D. Removing a marble from a bag, and then choosing another without replacing the first
A. Choosing one sock at random, putting it on, and then choosing another sock at random is considered an independent event because the outcome of the first event (choosing a sock and putting it on) does not affect the probability of the second event (choosing another sock). The probability of choosing one sock does not depend on what sock was chosen first, regardless of whether it was put on or not. Therefore, these events are independent of each other.
a number cube with the numbers one through six is rolled and a spinner with the colors blue, yellow, another yellow, and green is spun what is the probability of rolling a 5 and spinning a blue
The probability of rolling a 5 on a number cube is 1/6.
The probability of spinning a blue on the spinner is 1/4 because there is one blue section out of four total sections.
To find the probability of both of these events happening, we multiply their individual probabilities:
P(rolling a 5 and spinning a blue) = P(rolling a 5) x P(spinning a blue)
P(rolling a 5 and spinning a blue) = (1/6) x (1/4)
P(rolling a 5 and spinning a blue) = 1/24
Therefore, the probability of rolling a 5 and spinning a blue is 1/24.
a number cube with the numbers one through six is rolled and a spinner with the colors blue, yellow, another yellow, and green is spun what is the probability of rolling an odd number and yellow
To find the probability of the complement of an event, we need to first find the probability of that event, and then subtract it from 1.
In this case, the complement of 4 would be getting any number other than 4 when rolling the number cube.
There are 6 numbers on the cube, and only 1 of them is a 4. Therefore, the probability of getting a 4 is 1/6.
To find the probability of the complement of 4, we subtract the probability of 4 from 1:
1 - 1/6 = 5/6
Therefore, the answer is option B, 5/6.