We want to get the probability of selecting an orange, putting it back, then selecting a block that is not orange.
We will see that the probability is P = 0.1799
In the bag we have:
- 6 yellow blocks
- 4 orange blocks
- 2 green blocks
- 5 blue blocks.
For a total of 6 + 4 + 2 + 5 = 17 blocks.
First we want to find the probability of getting an orange block, as all the blocks have the same probability of being randomly drawn, the probability of randomly drawing an orange block is equal to the quotient between the number of orange blocks and the total number of blocks.
We get:
p = 4/17
Now we put the orange block back and we want to take a block that is not orange, the probability is computed in the same way:
q = (6 + 2 + 5)/17 = 13/17
The joint probability (this is, the probability of these two events happening together) is just the product of the individual probabilities.
We get:
P = p*q = (4/17)*(13/17) = 52/289 = 0.1799
If you want to learn more, you can read:
brainly.com/question/1349408
