If you write a number over another number, it's called a FRACTION
P(at least 5 rolls until 1) = P(4 rolls are not 1) = 5/6 x 5/6 x 5/6 x 5/6 = 0.4823 (4sf)
Fewer than 7 rolls to get second 1 after first takes 3 rolls means second occurs on 4th, 5th or 6th roll
The probability of each of these is 1/6, 5/6 x 1/6 and 5/6 x 5/6 x 1/6 respectively.
P(second 1 on 4th, 5th or 6th roll) = 1/6 + 5/36 + 25/216 = 91/216 = 0.4213 (4sf)
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Answer:

Step-by-step explanation:
<u><em>STEP:-1</em></u>
Given that events A and B are independent then
P(A ∩B ) = P(A) P(B)
Given that P(A) = 2/5 and P(B) = 1/5
<u><em>STEP:- 2</em></u>
P(A ∩B ) = P(A) P(B)


<u><em>Step(iii):-</em></u>
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38.4 is the area. it’s 8.5 ft long so you do 8.5x2 and you get 17, and then for 10.7 you do 10.7x2 and get 21.4, then you add 21.4 and 17 together.