Which of the following represents mutually exclusive events?
Drawing a queen or a heart from a standard deck of 52 cards
Drawing an odd number or a five from a standard deck of 52 cards
Rolling a number greater than five or a number less than two on a standard six-sided die
Rolling a number greater than three or a number less than five on a standard six-sided die
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Phantomdex:
@toga
toga:
The mutually exclusive events are options (a) and (c).
Option (a) represents drawing a queen or a heart from a standard deck of 52 cards. Since there are 4 queens and 13 hearts in a deck of 52 cards, there are 17 cards that satisfy the condition. However, a card cannot be both a queen and a heart at the same time, so these events are mutually exclusive.
Option (c) represents rolling a number greater than five or a number less than two on a standard six-sided die. Since the only numbers that are either greater than five or less than two are 1 and 6, these events are also mutually exclusive.
Phantomdex:
Alright, but out of those two which one would it be specifically?
Phantomdex:
@toga sorry TwT
Phantomdex:
I thought it would be between c or d since A can be both a queen and heart (queen of hearts)
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Phantomdex:
and B can be an odd number and five
toga:
@phantomdex wrote:
Alright, but out of those two which one would it be specifically?
Option (a) and option (c) are both mutually exclusive events
Phantomdex:
I have to pick one 0-0
toga:
oh
Phantomdex:
yeah that's why I ask TwT
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toga:
a
toga:
@toga wrote:
a
because Drawing a queen or a heart from a standard deck of 52 cards is a mutually exclusive event because a queen is not a heart, and a heart is not a queen. In other words, the two events cannot happen at the same time. When you draw a card from the deck, it can either be a queen or a heart, but not both. Therefore, these events are mutually exclusive.