You roll two fair dice a blue one and a yellow one
what is the probability of and odd on the blue die and 5 or 6 on the yellow die
prob(odd on blue) = 1/2
prob(5 or 6 on yello) = 2/6 = 1/3
prob(odd on blue AND 5or6 on yellow)
= (1/2)(1/3) = 1/6
Proof and check:
There are 36 possible ways for the 2 dice to fall
the ones you want are:
1 5
1 6
3 5
3 6
5 5
5 6, which is 6 of them
so prob(as stated) = 6/36 = 1/6
sara and sam are rolling dice. they are using two dice. if sara rolls a 4,9,10, or 12, sam will pay her $100
To find the probability of rolling an odd on the blue die and a 5 or 6 on the yellow die, we can determine the individual probabilities and multiply them together.
The blue die has 6 sides, with 3 odd numbers (1, 3, 5) and 3 even numbers (2, 4, 6). So the probability of rolling an odd on the blue die is 3/6 or 1/2.
The yellow die also has 6 sides, but only 2 numbers, 5 and 6, satisfy the condition. So the probability of rolling a 5 or 6 on the yellow die is 2/6 or 1/3.
To get the probability of both events occurring, we multiply the individual probabilities together:
(1/2) * (1/3) = 1/6
Therefore, the probability of rolling an odd on the blue die and a 5 or 6 on the yellow die is 1/6.
To find the probability of an odd on the blue die and 5 or 6 on the yellow die, we need to determine the number of favorable outcomes and the total number of possible outcomes.
First, let's identify the favorable outcomes:
- For the blue die, the odd numbers are 1, 3, and 5.
- For the yellow die, the numbers 5 and 6 are the favorable ones.
Next, let's find the total number of possible outcomes:
- Since there are six sides on both dice, the blue die has six possible outcomes, and the yellow die has six possible outcomes as well.
- Therefore, the total number of possible outcomes is 6 * 6 = 36.
Now, we can calculate the probability:
- The number of favorable outcomes is 3 (odd numbers on blue die) * 2 (5 and 6 on yellow die) = 6.
- The probability is the number of favorable outcomes divided by the total number of possible outcomes: P = 6/36 = 1/6.
So, the probability of rolling an odd on the blue die and a 5 or 6 on the yellow die is 1/6.