The probability of the compound event is 2/7.
The probability of a number less than 7 and then a multiple of 4 is 2/21
The probability of choosing two even numbers is 2/7.
We have given you randomly choose a tile. Without replacing the first tile, you choose a second tile.
We have to determine the probability of choosing a number less than 7 and then a multiple of 4.
What is the formula for probability?
[tex]P(A)=\frac{Autcome in A}{Outcome in sample space}[/tex]
For a first pick
There are 7 tiles. Two tiles have numbers less than 7, the 6 and the 5.
p(number less than 7) = 2/7
Similarly for the second pick:
Now there are 6 tiles left.
There are two multiples of the 4, then 8, and the 20.
P(multiple of 4)
= 2/6
= 1/3
Overall probability:
p(less than 7 followed by multiple of 8)
= 2/7 * 1/3
= 2/21
For the first pick:
There are 7 tiles. Four tiles have even numbers.
p(even number) = 4/7
For the second pick:
Now there are 6 tiles left.
There are three even numbers left.
p(even number)
= 3/6
= 1/2
Therefore the overall probability is
P(even number followed by even number)
= 4/7 * 1/2
= 4/14
= 2/7
Therefore the probability of choosing two even numbers is 2/7.
To learn more about the probability visit:
https://brainly.com/question/25870256