mutually exclusive and independent events
Which of the following formulas is used to calculate the probability of mutually exclusive events a and b?
(P)AuB=P(A)+P(B)
A Nashville-area radio station plays songs from a specific, fixed set of artists. The station has no DJ; instead, a computer randomly selects which songs to play. The songs themselves are picked randomly, and the same song may be played many times in a row. In the set of songs, 45% are sung by a female singer, 45% are sung by a male singer, and 10% are instrumental with no vocals. What is the probability that a particular set of 3 songs contains exactly 2 female singers and 1 male singer? (Hint: Be aware that there are multiple ways to achieve this pattern of songs.)
2187/8000
In other words, the probability of a and b occurring is the sum of the probabilities, minus the probability that a and b occurred. Using this formula, calculate the probability of drawing a red card or any jack on a single random draw from a standard 52-card deck.
7/13
Which of the following describes an example of independent events?
NOT generating a random number between 1 and 25, and then generating another random number between 1 and 25, excluding the first one picked
A sock drawer contains winter socks and summer socks. Both varieties come in two colors: red and blue. There are two pairs each of red summer socks and red winter socks, and one pair each of blue summer socks and blue winter socks. If a sock is selected randomly, what is the probability it will be a red sock or a winter sock?
NOT 1/3
Which of the following does not describe an example of mutually exclusive outcomes a and b for drawing a card at random from a standard 52-card deck
NOT = the card is red, B = the card is black
Two standard number cubes are thrown, one after the other. What is the probability that the first cube lands showing a 1 and the second cube lands showing a number that is not 1? Round the answer to the nearest thousandth.
NOTTTTTT 0.278
The next four batters on a baseball team have hitting percentages of 0.400, 0.325, 0.250, and 0.300, respectively. The team currently has two outs. If any player gets an out, the next player or players will not get an opportunity to bat. What is the probability that the fourth player will have an opportunity to bat?
Not 17/40
Which of the following formulas is used to calculate the probability of independent events a and b
P(A and B)= P(A) times P(B)
Which of the following statements best defines independent events?
Two events are independent events if the occurrence of one event has no effect on the probability of the other.
