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 roll

Question

2 years ago

7

ing a 2 or 5 on her 7th toss of the dice? A 1/7 B 1/6. C 1/3 D 2/7

1 answer:

Igoryamba · Answer 1 · 2022-10-30T20:05:06+03:00

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

$\frac{1}{3}^7.$

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

$P(2/ 5)=1/6+1/6\\\\P(2/ 5)=2/6\\\\P(2/ 5)=1/3.$

Where

$P(2/5 ) =(1/3)^6.$

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

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

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