"a card is picked from a standard deck of 52, and then a coin is flipped four times. how many possible outcomes are there? "

Given a card picked from a standard deck of 52.

1 card is picked from 52 cards. So there are 52 possible outcomes.

Also given a coin is flipped 4 times.

If a coin is flipped there are two out comes either heads or tails.

So for flipping of coin 1 time there are 2 outcomes.

If we flip the coin 4 times the total number of outcomes = =

Now picking a card from a standard deck and flipping a coin 4 times, the total possible outcome we will get by multiplying the outcomes for them.

So total outcomes =

=

We have got the required answer.

Total possible outcomes = 832.

answer: expected value of x = 1.0

step-by-step explanation:

p(x=0) = 0.25

p(x=1) = 0.50

p(x=2) = 0.25

expected value for x = 0×0.25 + 1×0.5 + 2×0.25 = 1.0