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a standard six sided die. Janice rolled either a 2 or a 5 on the last 6 rolls of the die. What is the probability of Janice rolling a 2 or 5 on her 7th toss of the dice? A 1/7 B 1/6. C 1/3 D 2/7​

Sagot :

We have that   the probability of Janice rolling a 2 or 5 on her 7th toss of the dice is

[tex]\frac{1}{3}^7.[/tex]

From the question we are told that

Janice rolled either a 2 or a 5 on the last 6 rolls of the die

Janice rolling a 2 or 5 on her 7th toss of the dice

[tex]P(2/ 5)=1/6+1/6\\\\P(2/ 5)=2/6\\\\P(2/ 5)=1/3.[/tex]

Where

[tex]P(2/5 ) =(1/3)^6.[/tex]

Janice roll the standard die 7th time the probability of getting 2 or 5 is

[tex]P(2/5 ) =\frac{1}{3}^7.[/tex]

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