Lottery. A $2 Powerball lottery ticket has a 1 / 27.05 probability of winning $4 , a 1 / 317.39 probability of winning $7 , a 1 / 10 , 376.47 probability of winning $100 , a 1 / 913 , 129.18 probability of winning $50,000 , a 1 / 11 , 688 , 053.52 probability of winning $1,000,000 and a 1 / 292 , 201 , 338 probability of winning the Grand Prize. If the Grand Prize is currently $100,000,000 , what is the expected value of a single Powerball lottery ticket?
Lottery. A $2 Powerball lottery ticket has a 1 / 27.05 probability of winning $4 , a 1 / 317.39 probability of winning $7 , a 1 / 10 , 376.47 probability of winning $100 , a 1 / 913 , 129.18 probability of winning $50,000 , a 1 / 11 , 688 , 053.52 probability of winning $1,000,000 and a 1 / 292 , 201 , 338 probability of winning the Grand Prize. If the Grand Prize is currently $100,000,000 , what is the expected value of a single Powerball lottery ticket?
Solution Summary: The author calculates the expected value of a single Power-ball lottery ticket and the probability of winning it.
Lottery. A
$2
Powerball lottery ticket has a
1
/
27.05
probability of winning
$4
, a
1
/
317.39
probability of winning
$7
, a
1
/
10
,
376.47
probability of winning
$100
, a
1
/
913
,
129.18
probability of winning
$50,000
, a
1
/
11
,
688
,
053.52
probability of winning
$1,000,000
and a
1
/
292
,
201
,
338
probability of winning the Grand Prize. If the Grand Prize is currently
$100,000,000
, what is the expected value of a single Powerball lottery ticket?
=
Q6 What will be the allowable bearing capacity of sand having p = 37° and ydry
19 kN/m³ for (i) 1.5 m strip foundation (ii) 1.5 m x 1.5 m square footing and
(iii)1.5m x 2m rectangular footing. The footings are placed at a depth of 1.5 m
below ground level. Assume F, = 2.5. Use Terzaghi's equations.
0
Ne
Na
Ny
35 57.8 41.4 42.4
40 95.7 81.3 100.4
Q1 The SPT records versus depth are given in table below. Find qan for the raft 12%
foundation with BxB-10x10m and depth of raft D-2m, the allowable
settlement is 50mm.
Elevation, m 0.5 2
2 6.5 9.5 13 18 25
No.of blows, N 11 15 29 32 30 44
0
estigate shear
12%
College Algebra with Modeling & Visualization (5th Edition)
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