Question

Two tickets are drawn from a box with 5 tickets numbered as follows: 1,1,3,3,5. If the tickets are drawn with replacement, find the probability that the first ticket is a 1 and the second ticket is a 5. If the tickets are drawn without replacement, find the probability that the first ticket is a 1 and the second ticket is a 3. If the tickets are drawn without replacement, find the probability that the first ticket is a 1 and the second ticket is a 1

Answer #1

(a) With replacement

P (first ticket is 1 and second ticket is 5)

P(first ticket =1) =2/5

P(second ticket = 5) = 1/5

**P (first ticket is 1 and second ticket is 5) = 2/5 * 1/5
= 2/25 = 0.08**

(b) without replacemnet

P (first ticket is 1 and second ticket is 3)

P (first ticket is 1) = 2/5

P(second ticket is 3) = 2/4 [as one ticket is already removed]

**P (first ticket is 1 and second ticket is 3) = 2/5 * 2/4
= 4/20 = 0.20**

(c) withour replacement

P(first ticket is 1 and second is 1)

P(first ticket is 1) = 2/5

P(second ticket is 1)= 1/4

**P(first ticket is 1 and second is 1) = 2/5 * 1/4 = 2/20
= 0.10**

Consider a box with three tickets numbered one to three. Suppose
a coin is tossed. If the coin toss results in a head, then two
tickets are drawn from the box with replacement. If the coin toss
results in a tail, then two tickets are drawn from the box without
replacement. Let A denote the event that the coin toss is a head.
Let B be the event that the sum of the tickets drawn is .
(1) Describe the...

Three random draws with replacement will be made from a box
containing 5 tickets labeled:
1, 2, 2,
3, 3.
The probability that a ticket labeled 2 will be
drawn at least once is _____ out of 125.

A box contains
11
balls numbered 1 through
11.
Two balls are drawn in succession without replacement. If the
second ball has the number 4 on it, what is the probability that
the first ball had a smaller number on it? An even number on
it?
The probability that the first ball had a smaller number is
_____.
(Type a fraction. Simplify your answer.)
The probability that the first ball had an even number is
____.
(Type a fraction. Simplify...

A box contains 80 balls numbered from 1 to 80. If 15 balls are
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of them have the same number?

A box contains 30 pens numbered from 1 to 30. One pen
is drawn at random. Find the
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or 7, (b) 3 or 7.

1. Consider the box: [0,2,3,4,6]
a.) If 2 tickets are drawn at random without
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b.) If 400 tickets are drawn at random with
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3.2?

ssume that two marbles are drawn without replacement from a
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probability that the second marble is white, given that the first
marble is blue.
A. 1/9
B. 1/4
C. 1/8
D. 2/9

cards numbered from 1 through 31 are placed into a box and two
cards are selected without replacement. Find the probability that
both numbers selected are odd, given that their sum is even.
Find the probability that both numbers selected are odd, given
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Four hundred draws are made at random with replacement from a
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it? Answer yes or no, and explain.

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