Phong Tran

Compute Probabilities

3 things to be able to compute probabilities from an experiment:

1. A sample space S, at the set of results of the experiment, for example, in the coin toss experiment, the sample space S is the set of all possible outcomes: $S = \{Heads, Tails\}$
2. Collection of events $E \subseteq S$, for example, the same coin toss, an event E could be “getting Heads”, which is $E = \{Heads\}$. Another event could be “getting Tails”, so $E = \{Tails\}$
3. Function $P(E)$on the events, for instance, the probability function P(E) assigns a probability to each event. For a fair

Poker cards

52 cards at a deck with 4 type hearts, club, diamonds, spades, and including 13 for each.

1. What is the probability of choose 2 red cards from this deck

52 cards: $\frac{26}{52} \cdot \frac{25}{51}$

1. What is the probability of choose number 4 cards from this deck

52 cards, 4 cards having number 4: $\frac{4}{52}$

1. What is the probability of choosing number 4 cards from this deck? Given these are black cards

52 cards, 4 cards having number 4 with 2 blacks and 2 reds: $\frac{2}{52}$

Numeric numbers

How many number