"-ich of these pairs of events is NOT mutually exclusive? a. Beina-sleep and being awake b. Being in California and being in Texas c. Wearing a red shirt and wearing a cotton shirt d. Having all A's and having all B's

The correct answer is d. Having all A's and having all B's.<br /><br />Mutually exclusive events are events that cannot occur at the same time. In other words, if one event occurs, the other cannot occur.<br /><br />Let's analyze each option:<br /><br />a. Being asleep and being awake: These two events are mutually exclusive because a person cannot be both asleep and awake at the same time.<br /><br />b. Being in California and being in Texas: These two events are mutually exclusive because a person cannot be in both California and Texas at the same time.<br /><br />c. Wearing a red shirt and wearing a cotton shirt: These two events are mutually exclusive because a person cannot wear a red shirt and a cotton shirt at the same time.<br /><br />d. Having all A's and having all B's: These two events are not mutually exclusive because a person can have all A all B's at the same time. For example, a person can have an A in math and an A in science, which means they have all A's in both subjects.<br /><br />Therefore, the correct answer is d. Having all A's and having all B's.