a coin is tossed three times what is the probability of getting (1) no here? (2)at least one head? at most 2 heads
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So, if
P(zero heads)= 1/8 ,
then that should be the same of p(all tails)?
We would use the complement rule and Multiplication Rule?
P(at least one head) = 1 - P(no heads) = 1 - 1/8= 7/8 P(at least one tail) = 1 - P(no tails)
= 1 - 1/8= 7/8
Hope Helps....
P(zero heads)= 1/8 ,
then that should be the same of p(all tails)?
We would use the complement rule and Multiplication Rule?
P(at least one head) = 1 - P(no heads) = 1 - 1/8= 7/8 P(at least one tail) = 1 - P(no tails)
= 1 - 1/8= 7/8
Hope Helps....
Answered by
2
ᴛᴏᴛᴀʟ ᴩᴏꜱꜱɪʙʟᴇ ᴏᴜᴛᴄᴏᴍᴇꜱ : {TTT},{TTH},{THT},{HTT},{THH},{HTH},{HHT},{HHH}. ᴛʜᴀᴛ ᴛᴏᴛᴀʟꜱ ᴛᴏ 8. ᴛʜᴇ ꜰᴀᴠᴏʀᴀʙʟᴇ ᴏᴜᴛᴄᴏᴍᴇꜱ (ɪ.ᴇ., ɢᴇᴛᴛɪɴɢ ᴀᴛ ʟᴇᴀꜱᴛ ᴛᴡᴏ ʜᴇᴀᴅꜱ) ᴀʀᴇ {THH},{HTH},{HHT},{HHH} ; ᴡʜɪᴄʜ ᴛᴏᴛᴀʟꜱ ᴛᴏ 4.
ᴩ(ɴᴏ ʜᴇᴀᴅ)=1/8
ᴩ(ᴀᴛ ʟᴇᴀꜱᴛ 2 ʜᴇᴀᴅ)=4/8=1/2=0.5
ᴩ(ᴀᴛ ᴍᴏꜱᴛ 2 ʜᴇᴀᴅ)=6/8
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