Conditional probability is the art of updating probabilities based on given information. What is the probability that the sidewalk is wet? And what if we know that it rained a few hours ago? See more

A survey on the preference for great composures in the 20\(^\text{th}\) century was conducted to 100 music critics. A part of the result is shown in the table below. What is the probability that a randomly chosen critic likes Stravinsky?

\[ \begin{array}{lcc} & \text{like Schoenberg} & \text{hate Schoenberg} \\ \text{like Stravinsky} & 40 & 25 \\ \text{hate Stravinsky} & 20 & 15 \end{array} \]

A card is drawn randomly from a standard deck of cards. What is the probability that the card drawn is either a 2 or a Spade?

**Details and Assumptions:**

A standard deck of cards consists of 52 cards, formed by 13 ranks (Ace, 2, 3, 4, 5, 6, 7, 8, 9, 10, Jack, Queen and King) of 4 suits (clubs, diamonds, hearts and spades).

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