Darnell is selecting names from a hat to determine who will choose the family activities for the weekend. The names in the hat include his mother, father, sister, and him. Calculate the probability of each compound event.

Match Term Definition
Probability(Darnell and sister), with replacement A) one-sixteenth
Probability(mother and father), without replacement B) one-sixth
Probability(parent and sister), without replacement C) one-twelfth
Probability(parent and child), with replacement D) one-fourth

Question

Darnell is selecting names from a hat to determine who will choose the family activities for the weekend. The names in the hat include his mother, father, sister, and him. Calculate the probability of each compound event.

Match 	Term 	Definition
	Probability(Darnell and sister), with replacement 	A) one-sixteenth
	Probability(mother and father), without replacement 	B) one-sixth
	Probability(parent and sister), without replacement 	C) one-twelfth
	Probability(parent and child), with replacement 	D) one-fourth

debbieg · Answer

Without replacement, the probability of any particular outcome on the first draw is 1/4, then on the 2nd draw it would be 1/3, since one name is gone, right?

But with replacement, the probability will be 1/4 each time, since there are always 4 names "in the hat".

Does that make sense so far?