Alice, Bob, and Charlotte are looking for butterflies. They look in three separate parts of a field, so that their probabilities of success do not affect each other. Alice finds 1 butterfly with probability 17%, and otherwise does not find one. Bob fines 1 butterfly with probability 25%, and otherwise does not find one. Charlotte finds 1 butterfly with probability 45%, and otherwise does not find one. Let X be the number of butterflies that they find together. What is the expected value of X?

The expected number of butterflies that they find together is 0.87.

Step-by-step explanation:

Let A = number of butterflies caught by Alice, B = number of butterflies caught by Bob and C = number of butterflies caught by Charlotte.

The probability function of A is:

The probability function of B is:

The probability function of C is:

The random variable X is denoted as the number of butterflies that they find together.

Compute the expected value of X as follows:

E (X) = E (A + B + C)

        = E (A) + E (B) + E (C)

Thus, the expected number of butterflies that they find together is 0.87.

0.16 or 16%

step-by-step explanation:

lets take a coin for example.

if you toss it twice, it has a 1/4 chance of landing on heads both times because 1/2 * 1/2 is 1/4.

with the cards, the chance of picking dog is 0.4. having two people pick one is like picking a card twice in a row. so 0.4 * 0.4 is 0.16, or 16%

i dont know sorry

step-by-step explanation: