Probability
What is the probability of picking a red marble, from a bag of 12 yellow marbles, 3 green, 2 red and 4 black?
2/21
Consider 2 events such that P(A) = 1/4,
P(B) = 2/5 and P (A and B) = 1/10
Are the events mutually exclusive?
No
The experiment is to consider the height and weight of students. The first event is that the student is greater than 1.8m tall and the 2nd event is that the student weighs more than 70kg.
Dependent
What is the smallest probability value possible?
0
What is the probability of winning the car in the Monty Hall problem, if you go by gut instinct?
1/3
What is the concept of mutually exclusive events?
It is an event that involves whether or not two events can occur at the same time.
The experiment is choosing 2 cards with replacement from a standard deck. The first event is that the first card is a jack and the second event is that the 2nd card is a queen.
Independent
What is the largest probability value possible?
1 or 100%
A basket contains 5 purple pencils and 9 brown pencils. If two pencils are picked at random one after the other without replacement, then what is the probability that both the pencils are purple?
10/91
Give an example of a non mutually exclusive events?
The experiment is rolling a die and rolling the die again. The first event is that the number on the first roll is a 6 and the 2nd event is that the number is a 2.
Independent
There are 6 red marbles, 5 green marbles, and 4 yellow marbles in a bag. If Joe picks 2 marbles one after the other without replacement, then what is the probability that both are red in color?
1/7
What is the probability of rolling an even number on the first roll of a number cube and rolling an odd number on the second roll?
1/4
In an experiment, the events A, B have common outcomes. This is an example of?
Not mutually exclusive.
What is an example of a dependent event?
ie/
A coin is tossed and a number cube is rolled. Find the probability, P(heads and 7).
0
A box contains all the letters of the word U N D E R S T A N D. What is the probability of selecting an 'N' first and a 'D' next, if the first letter is replaced?
1/25
In the events A, B, the events do not have common outcomes. This is...
Mutually exclusive
What is an example of an independent event?
Ten cards numbered 1-10 are placed in a hat. What is the probability of randomly drawing a card with an even number then a card with a number greater than or equal to five if the first card is replaced?
3/10