tivity 2 a tick (/) if the events can happen at the same time and (X) if they can ppen at the same time on the box. 1) \( \mathrm{A}= \) tossing a coin and getting a head \( \mathrm{B}= \) tossing a coin and getting a tail 2) \( \mathrm{A}= \) rolling a die and getting a factor of 6 \( \mathrm{~B}= \) rolling a die and getting a prime number 3) \( \mathrm{A}= \) a heart is drawn from a standard deck of cards \( \mathrm{B}= \) a face card is drawn from a standard deck of cards 4) \( \mathrm{A}= \) an ' 8 ' is drawn from a standard deck of cards \( \mathrm{B}= \) a king is drawn from a standard deck of cards 5) \( \mathrm{A}= \) a multiple of 3 turning up in rolling a die once \( \mathrm{B}= \) a factor of 4 turning up in rolling a die once
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The Deep Dive
1) X You can toss a coin and get a head or a tail, but not both at the same time. It's a classic binary situation! 2) / Rolling a die can yield a factor of 6 (like 1, 2, or 3) while also producing a prime number (like 2 or 3). How exciting to see the possibilities! 3) X You can't draw a heart and a face card simultaneously from a standard deck since each card belongs to only one suit. You've got to pick one or the other! 4) X An '8' and a king are two distinct cards in a standard deck. You can only draw one card at a time, so you can't get both! 5) / When rolling a die, you can get a multiple of 3 (like 3 or 6) and simultaneously a factor of 4 (like 2 or 4). Isn't probability just full of surprises?
