two events a and b will be indenpendent if
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Events A and B are independent if the equation P(A∩B) = P(A) P(B) holds true. You can use the equation to check if events are independent; multiply the probabilities of the two events together to see if they equal the probability of them both happening together.
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ᴇᴠᴇɴᴛs ᴀ ᴀɴᴅ ʙ ᴀʀᴇ ɪɴᴅᴇᴘᴇɴᴅᴇɴᴛ ɪғ ᴛʜᴇ ᴇϙᴜᴀᴛɪᴏɴ ᴘ(ᴀ∩ʙ) = ᴘ(ᴀ) ᴘ(ʙ) ʜᴏʟᴅs ᴛʀᴜᴇ. ʏᴏᴜ ᴄᴀɴ ᴜsᴇ ᴛʜᴇ ᴇϙᴜᴀᴛɪᴏɴ ᴛᴏ ᴄʜᴇᴄᴋ ɪғ ᴇᴠᴇɴᴛs ᴀʀᴇ ɪɴᴅᴇᴘᴇɴᴅᴇɴᴛ; ᴍᴜʟᴛɪᴘʟʏ ᴛʜᴇ ᴘʀᴏʙᴀʙɪʟɪᴛɪᴇs ᴏғ ᴛʜᴇ ᴛᴡᴏ ᴇᴠᴇɴᴛs ᴛᴏɢᴇᴛʜᴇʀ ᴛᴏ sᴇᴇ ɪғ ᴛʜᴇʏ ᴇϙᴜᴀʟ ᴛʜᴇ ᴘʀᴏʙᴀʙɪʟɪᴛʏ ᴏғ ᴛʜᴇᴍ ʙᴏᴛʜ ʜᴀᴘᴘᴇɴɪɴɢ ᴛᴏɢᴇᴛʜᴇʀ.
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