Statistics for Maintenance Modelling: Basic Probability Concepts

# Example of Independent Variables¤

A card is selected at random from an ordinary deck of 52 playing cards. If E is the event that the selected card is an ace and F is the event that it is a spade, then E and F are independent.

This follows because the probability of getting an ace, P(E) = 4/52 and the probability of getting a spade, P(F) = 13/52, and the probability of getting an ace and a spade, i.e. the ace of spades,
P(EF) = 1/52, giving:

P(EF) = P(E) P(F)

1//52 = 13/52 4/52

Close