Answer:
0.40
Step-by-step explanation:
to find out the probability that at least one of a pair of fair dice lands of 5, given that the sum of the dice is 8
Let A = sum of dice is 8
B = one lands in 5
P(B/A) = P(AB)/P(A) by conditional probability
P(AB) = sum is 8 and one is 5
So (5,3) or (3,5)
P(A) = sum is 8.
i.e. (2,6) (2,6) (3,5) (5,3) (4,4)
Required probability
= n(AB)/n(A)
=
Step-by-step explanation:
There are four quarter circles, each with radius 9 ft. Together, they form a full circle. There are also four squares, each with side length 9 ft.
A = πr² + 4s²
A = π (9 ft)² + 4 (9 ft)²
A ≈ 578.469 ft²
First answer: Graph A
Second answer: E) Increase less
Graph A shows a flatter curve compared to B which is steeper. The steeper the curve, the faster the increase.
Answer:
Current water in dam = 1,676.202 million m³ (Approx.)
Step-by-step explanation:
Given:
Storage capacity of dam = 2,536 million m³
Current water level = 65.4%
Find:
Current water in dam
Computation:
Current water in dam = Storage capacity of dam x Current water level
Current water in dam = 2,563 x 65.4%
Current water in dam = 1,676.202 million m³ (Approx.)
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)
