Question

Q10

When a fair die is tossed twice, what is the probability that the same number appears twice (round off to second decimal place)?

Answer #1

Probability calculation.

1. A fair die is tossed twice ,find the probability of
getting a 4 or 5 on the first toss and find the probability of
getting 1, 2 or 3 on the second toss?
2. Diana draws a card at random deck of cards without replacing the
card that she drawed , what is the probability that the first card
is a 3 and a second card is a diamond ?

A fair die is tossed 240 times.
(a) Find the probability that a number other than 6 appears
exactly 200 times.
(b) Does the normal approximation to the binomial apply? If so, use
it to approximate the probability that a number other than 6
appears exactly 200 times.

A die is tossed 8 times, with the number “4” coming up twice.
What is the probability that one of the “4”s was on the 6th
toss?

A fair six-sided die is tossed twice. Consider the following
events:
1. A : First toss yields an even number.
2. B : Second toss yields an odd number.
3. C : Sum of two outcomes is even.
Find P(A), P(B), P(C), P(B ∩ C), P(C|B), P(C|A ∩ B) and
P(B|C).

The experiment is to throw a fair die twice. What is the
probability that the sum of the two numbers is equal to 6?

What is the probability all 6 faces of a fair die turn up at
least twice in 20 rolls.

A die is rolled twice. What is the probability of showing a 3 on
the first roll and an even number on the second roll?
Your answer is :

A die is said to be fair if the probability of rolling the
number i is pi = 1/6 for i = 1, ..., 6. One student rolls a die 180
times with the following outcome.
number
1
2
3
4
5
6
frequency
38
27
33
27
28
27
What is the expected frequency for rolling 3 if the die is
fair.
Round your answer to the nearest 0.01.
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Question 21 pts
Continue the previous problem....

A die is rolled twice. What is the probability that the sum of
the faces is greater than 7, given that
(a) 2 appears on one side of the rolls
(b) first outcome was 4
(c) first outcome greater than 3

3 Alex
tossed a die 30 times and recorded the results in the table
below:
Die Number
1
2
3
4
5
6
Total number of tosses
4
3
5
4
4
10
a) Use the
table to calculate the relative frequency of tossing a “6” as a
percentage correct to one decimal place.
b) What is the
expected number of times a “6” should result when a die is rolled
30 times?
c) Is Alex
justified in thinking that the die she is...

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