An urn contains four balls numbered 1 through 4. the balls are selected one at a time without replacement. a match occurs if the ball numbered m is the mth ball selected. let the event
ai
denote a match on the ith draw, i = 1, 2, 3, 4. a. show that
p(ai)=3! /4!
for each i. b. show that
p(ai∩aj)=2! /4! ,i≠j
. c. show that
p(ai∩aj∩ak)=1! /4! ,i≠j, i≠k, j≠k
. d. show that the probability of at least one match is
p(a1∪a2∪a3∪a4)=1−1/2! +1/3! −1/4!
. e. extend this exercise so that there are n balls in the urn. show that the probability of at least one match is
p(a1∪a2∪⋅⋅⋅∪an)
,
=1−1/2! +1/3! −1/4! +⋅⋅⋅+(−1)n+1/n!
,
=1−(1−1/1! +1/2! −1/3! +⋅⋅⋅+(−1)n/n! )
. f. what is the limit of this probability as n increases without bound?

the answer is b.)

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answer: if you weigh 60 pounds on earth, on the moon you will weigh about 10 pounds. if you weigh 120 pounds on earth, you will weigh about 20 pounds on the moon. since weight is caused by the mass of two objects that are near each other, the bigger the objects, the more the force of gravity.

step-by-step explanation: if you weigh 60 pounds on earth, on the moon you will weigh about 10 pounds. if you weigh 120 pounds on earth, you will weigh about 20 pounds on the moon. since weight is caused by the mass of two objects that are near each other, the bigger the objects, the more the force of gravity.

so a parallelogram is just like a square base times height. multiply 40 and 39 to get 1560 inches.

a triangle is base times height divided by two. so multiply 7.9 and 5 and then divide it by 2 to get 19.75inches.

the kite can be split into two separate triangles and added together to get the total area. 30 x 4 /2 which equals 60. make sure to double it for the two triangles making 120.

dont trust me im no expert these losers made me fail a test bro this sucks

step-by-step explanation: