Which of the following are independent pairs of events? check all that apply. a. flipping two coins and having one show a head and the other show a head b. being sneezed on and catching a cold c. when rolling a pair of dice, getting a total of 6 and having one die show a 3 d. rolling a 4 on one die and rolling a 2 on another die e. seeing clouds and winning the lottery,

The best answer for these question would be:

A. Flipping two coins and having one show a head and the other show a head

D. Rolling a 4 on one die and rolling a 2 on another die

E. Seeing clouds and winning the lottery

Independent events in math means that the first situation does not affect the other variable. It is generally the individual probability that will happen to the solution. Which means that you have to determine whether the first situation will be affected on the second events that will happen. While the dependent events, have the opposite effect.

a) one student is chosen from classroom a, then a student is chosen from classroom b.  

step-by-step explanation:

independent events are ones in which the probability of one event does not affect the probability of the second event.

one student is chosen from classroom a; this does not affect the chances of choosing a student from classroom b.   this makes these independent events.

when one card is chosen from a standard deck and then set aside before a second card is chosen, the probability of the second card being chosen changes.   this makes them dependent events.

when one student is chosen from classroom a and then a second student is chosen from classroom a, the probability of choosing the second student changes.   this makes them dependent events.

when a letter is chosen from the alphabet and then a second letter is chosen, the probability of choosing the second letter changes.   this makes them dependent events.

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step-by-step explanation: