Question

identifying dependent events
which are dependent events? choose two correct answers.
picking 4 cards from a deck, one after the other
rolling a number cube twice
flipping a coin 4 times
choosing 2 socks from a drawer, without replacement

Explanation:

• Dependent events are events where the outcome of the first event affects the outcome of the second event.
• When picking 4 cards from a deck one after the other, the composition of the deck changes after each pick, so the outcome of each subsequent pick is affected by the previous pick.
• When choosing 2 socks from a drawer without replacement, the number and types of available socks change after the first sock is chosen, so the second - choice is affected by the first.
• Rolling a number cube twice: The outcome of the first roll does not affect the outcome of the second roll. Each roll has 6 independent outcomes.
• Flipping a coin 4 times: The outcome of one coin - flip (heads or tails) does not affect the outcome of the other coin - flips.

Answer:

• picking 4 cards from a deck, one after the other
• choosing 2 socks from a drawer, without replacement