find the probability distribution of the sum of the dots when two fair dice are thrown.
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Probability for rolling two dice with the six sided dots such as 1, 2, 3, 4, 5 and 6 dots in each die. When two dice are thrown simultaneously, thus number of event can be 62 = 36 because each die has 1 to 6 number on its faces.
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ᴘʀᴏʙᴀʙɪʟɪᴛʏ ғᴏʀ ʀᴏʟʟɪɴɢ ᴛᴡᴏ ᴅɪᴄᴇ ᴡɪᴛʜ ᴛʜᴇ sɪx sɪᴅᴇᴅ ᴅᴏᴛs sᴜᴄʜ ᴀs 1, 2, 3, 4, 5 ᴀɴᴅ 6 ᴅᴏᴛs ɪɴ ᴇᴀᴄʜ ᴅɪᴇ.
ᴡʜᴇɴ ᴛᴡᴏ ᴅɪᴄᴇ ᴀʀᴇ ᴛʜʀᴏᴡɴ sɪᴍᴜʟᴛᴀɴᴇᴏᴜsʟʏ, ᴛʜᴜs ɴᴜᴍʙᴇʀ ᴏғ ᴇᴠᴇɴᴛ ᴄᴀɴ ʙᴇ 6^2 = 36 ʙᴇᴄᴀᴜsᴇ ᴇᴀᴄʜ ᴅɪᴇ ʜᴀs 1 ᴛᴏ 6 ɴᴜᴍʙᴇʀ ᴏɴ ɪᴛs ғᴀᴄᴇs.
ᴛʜᴇɴ ᴛʜᴇ ᴘᴏssɪʙʟᴇ ᴏᴜᴛᴄᴏᴍᴇs ᴀʀᴇ sʜᴏᴡɴ ɪɴ ᴛʜᴇ ʙᴇʟᴏᴡ ᴛᴀʙʟᴇ.
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