for the given pair of events A and B complete parts (a) and (b) below : A. When a baby is born it is a boy B. When a 15 sided die is rolled the outcome is 11. Find P(A and B) the probability events A and B both occur

P(A and B) = 1/2 * 1/15

.0333

For the given pair of events A and​ B, complete parts​ (a) and​ (b) below.  

​A: When a page is randomly selected and ripped from a 2121​-page document and​ destroyed, it is page 1515.
​B: When a different page is randomly selected and ripped from the​ document, it is page 1010.
a. Determine whether events A and B are independent or dependent.​ (If two events are technically dependent but can be treated as if they are independent according to the​ 5% guideline, consider them to be​ independent.)
b. Find​ P(A and​ B), the probability that events A and B both occur.

QUESTION: how do you find the probability

The probability that events A and B both occur is:

To find the probability that both event A and event B occur, denoted as P(A and B), we need to determine the probability of each event occurring separately and then multiply those probabilities together.

(a) Let's start with event A: "When a baby is born, it is a boy."

Assuming the probability of a baby being a boy is approximately 0.5 (50%), we can say P(A) = 0.5.

(b) Now for event B: "When a 15-sided die is rolled, the outcome is 11."

Since the die has 15 sides and only one side has the outcome of 11, we can say P(B) = 1/15, which is approximately 0.0667 (or 6.67%).

To find P(A and B), we multiply the probabilities of event A and event B together:

P(A and B) = P(A) × P(B)
= 0.5 × 1/15
= 0.0333 (or 3.33%)

Therefore, the probability that events A and B both occur is approximately 0.0333, or 3.33%.