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Question

asked 2021-05-14

The probability that event A occurs is 0,3, the probability that event B does not
occur is 0,4. What is the probability that events A and B occur simultaneously if
\(\displaystyle{P}{\left({A}∪{B}\right)}={0},{7}\)?

asked 2021-09-13

Ali an Sara each choose a number independently and uniformly at random from interval [0,2].

Consider the following events:

A:The absolute difference between the two numbers is greater than 1/4

B: Ali`s number is greater than 1/4

Find the probability \(\displaystyle{P}{\left[{A}\cap{B}\right]}\)

Consider the following events:

A:The absolute difference between the two numbers is greater than 1/4

B: Ali`s number is greater than 1/4

Find the probability \(\displaystyle{P}{\left[{A}\cap{B}\right]}\)

asked 2021-08-19

Let X represent the difference between the number of heads and the number of tails obtained when a coin is tossed n times.

What are the possible values of X?

What are the possible values of X?

asked 2021-08-15

Consider n independent sequential trials, each of which is successful with probability p. If there is a total of k successes, show that each of the

\(\displaystyle{n}\frac{!}{{{k}!{\left({n}−{k}\right)}!}}\)

possible arrangements of the k successes and n-k failures is equally likely.

\(\displaystyle{n}\frac{!}{{{k}!{\left({n}−{k}\right)}!}}\)

possible arrangements of the k successes and n-k failures is equally likely.