the numbered disks shown are placed in a box and one disk is selected at random. find the probability of…

the numbered disks shown are placed in a box and one disk is selected at random. find the probability of selecting a 4, given that a green disk is selected.\nfind the probability of selecting a 4, given that a green disk is selected.\n(type an integer or a simplified fraction.)

the numbered disks shown are placed in a box and one disk is selected at random. find the probability of selecting a 4, given that a green disk is selected.\nfind the probability of selecting a 4, given that a green disk is selected.\n(type an integer or a simplified fraction.)

Answer

Explanation:

Step1: Determine number of green disks

There are 7 green disks.

Step2: Determine number of green - 4 disks

There is 1 green disk with number 4.

Step3: Calculate conditional probability

The conditional probability formula for (P(A|B)) (probability of (A) given (B)) is (P(A|B)=\frac{n(A\cap B)}{n(B)}). Here, (A) is the event of selecting a 4 and (B) is the event of selecting a green disk. So the probability is (\frac{1}{7}).

Answer:

(\frac{1}{7})