Checkpoint: Compound Events Solutions

Determine probabilities of a standard card deck. State whether the problems are mutually exclusive or inclusive events.

$P (10 \cup J)$ $= \frac{4}{52} + \frac{4}{52} = \frac{8}{52} = \frac{2}{13}$ mutually exclusive

$P (10 \cup red)$ $= \frac{4}{52} + \frac{26}{52} - \frac{2}{52} = \frac{28}{52} = \frac{7}{13}$ inclusive

Note

Q: When will mutually exclusive events occur for a deck of cards? 

A: When only the value of the card is needed {A, 1, 2, …, J, Q, K} 

Q: When will inclusive events occur for a deck of cards? 

A: When the value and color or the value and suit are needed