Question

Which of the following is an example of independent events?

A) Selecting a bead from a bag of 9 different colored beads and then selecting a second bead without putting the first back.
B) Spinning a 3 on a spinner and getting a head from a coin toss.
C) Drawing a king from a standard deck of cards and then drawing an 8 without replacing the king.
D )Four people are drawn successively without replacement from a group of 30 to represent the group.

Answer 1

The correct answer is Choice B because each of these events are separate items.  Each of the others choices will have a part of the additional events that are affected by the first event.  When the first event happens in each of these options, the second event's probability is affected by the first outcome.  The number of total outcomes changes because of the first event in all choices, except for choice B.