a) Given that all numbers are different. Let these 3 numbers be: K, L and M. Now there are 3! = 6 permutations for the 3 numbers to be allotted to 3 dice colours. Out of these 6 cases, only 1 will be such that the number on blue dice < number on yellow dice < number on red dice. Therefore 1/6 is the required probability here.
b) Without any prior condition, Total cases = 6*6*6 = 216 for numbers on the 3 dice.
Now, number of cases such that: B < Y < R are computed as: 6c3 = 20 ways as if we select 3 distinct numbers from 6 numbers ( we can arrange them in 1 way to get the desired result )
Therefore the probability here is computed as:
Therefore 5/54 is the required probability here.
4. Three fair dice have different colors: red, blue, and yellow. These three dice are rolled...
1. A blue fair 6-sided dice and a red fair 6-sided dice are rolled at the same time. a) What is the probability of the sum of the dice equals 7, given 1 2 3 4 5 6 at least one of the dice shows a 3? 1 (1.1) (1.2) (1.3) (1.4) (1.5) (1.6) 2 (2.1) (2.2) (2.3) (2.4) (2.5) (2.6) (3.1) (3.2) (3.3) (3.4) (3.5) (3.6) (4.1) (4.2) (4.3) (4.4) (4.5) (4.6) 5 (5.1) (5.2) (5.3) (5.4) (5.5) (5.6)...
Three six-faced fair dice are rolled. What is the probability that exactly two of the dice have the face value of 6?
Three fair dice, each has 6 different faces, are rolled. Let B define the event that no two or no three dice show the same face. What is the probability of B
1.The two fair dice: black and red, with 6 sideS are rolled. WRITE A SAMPLE SPACE FOR AN EVENT DESCRIBED BELOW:“The sum of face up numbers 5”. 2. What is the probability that the sum of dace up numbers 5?
If a blue and a red dice are rolled, what is the probability of rolling two identical numbers? A. 18/36 B. 12/36 C. 6/36 D.36/36
2. A fair red die and a fair blue die are rolled 2 times each. What is the probability of the product of numbers on the red die is less then the sum of numbers on the blue die?
6. A bookstore sells three colors of books: blue (40% of the books), red (20%), yellow (40%). Half of the blue books are expensive; 10% of the red books are expensive, 30% of the yellow books are expensive. A book is selected from the store. What is the probability that the selected book is expensive?
If a blue and a red dice are rolled, what is the probability of rolling an odd number on the blue and an even number on the red? A. 6/36 B. 9/36 C. 18/36 D.36/36
Two fair (6-sided) dice are rolled. If you are told that the two dice end up with two different face values, what is the probability that one die has a face value of 6?
Plain M&M's come in 6 different colors (Blue, Orange, Green, Yellow, Red, Brown) and are produced at two different plants. M&M's that come from a plant in Tennessee are supposed to have the following distribution of colors: 20.7% Blue; 20.5% Orange; 19.8% Green; 13.5% Yellow; 13.1% Red and 12.4% Brown. Quality control at the plant is concerned the machine is not working correctly and that it is producing a different distribution of colors. They take a random sample of 940...