Question

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

Answer 1

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 = $(2)(2)(2)(2)$ = $16$

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 = $(52)(16)$

= $832$

We have got the required answer.

Total possible outcomes = 832.

Answer 2

(1/52)(1/2)(1/2)(1/2)(1/2) = 1/832