rasberrytickleb7180 rasberrytickleb7180
  • 03-09-2019
  • Mathematics
contestada

A coin is to be tossed until a head appears twice in a row. What is the sample space for this experiment? If the coin is fair, what is the probability that it will be tossed exactly four times?

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nuuk nuuk
  • 05-09-2019

Answer:[tex]\frac{2}{16}[/tex]

Step-by-step explanation:

if the coin is tossed four times then the possible sample space is formed  

[tex]S=\left \{ HH, THH, HTHH, TTHH, HTTHH, THTHH, TTTHH, ...\right \}[/tex]

For the probability that the coin is tossed only four times is when

For tossing four times sample space is

S=( HHHH HHHT HHTH HHTT

HTHH HTHT HTTH HTTT

THHH THHT THTH THTT

TTHH TTHT TTTH TTTT )

out of the above required ones are HTHH,TTHH

so the probability is [tex]\frac{2}{16}[/tex]

Answer Link
deerslayer69
deerslayer69 deerslayer69
  • 15-08-2022

Answer:1/4

Step-by-step explanation:

Answer Link

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