9.7 Probability

Probability problems can seem really complicated, but are often a lot simpler than they appear. At the base, every problem is asking you the ratio of favorable outcomes to total circumstances 

(# of successes/# of possibilities). For example, if you want to get a coin flip to be heads, there is one successful outcome, but two total outcomes (heads and tails), so the probability of getting heads is 1/2. There are twelve face cards in a deck of 52 cards, so the probability of drawing a face card is 12/52 (3/13). Let's try an example:

14.) In a 52-card deck, one card is drawn. What are the chances the number is six or lower?

• Ace, 2, 3, 4, 5, and 6 are six or lower, and there are four of each of those, so 6X4=24.
• There are 52 total cards, so the probability is 24/52 (Simplified: 6/13).