Question

which is a pair of independent events?
choosing one calendar date for sports practice and then choosing a back - up date
choosing one card from a deck and then choosing one card from another deck
choosing a pen to write with in class and then choosing another to let a friend use
choosing a first place and then a second place work of art

Explanation:

To determine independent events, we check if the outcome of one event affects the outcome of the other.

• For "choosing one calendar date for sports practice and then choosing a back - up date", the first choice reduces the available dates for the second, so they are dependent.
• For "choosing one card from a deck and then choosing one card from another deck", the two decks are separate. The choice from the first deck does not affect the choice from the second deck as the composition of the second deck remains unchanged.
• For "choosing a pen to write with in class and then choosing another to let a friend use", the first choice reduces the number of available pens for the second choice, so they are dependent.
• For "choosing a first place and then a second place work of art", the first choice affects the pool of available works for the second choice, so they are dependent.

Answer:

B. choosing one card from a deck and then choosing one card from another deck