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%.