Question

what is the probability that 2 dice are the same or the sum of 8? 6
felames and 5 makes fill our for 5 job positions. how many ways can
the position be filled with 3 females and 2 males? a bag of marbles
contains 3 green marbles and 6 orange marbles. if you draw 2
marbles without replacemt, what are the probability of the second
marble beign green?

Answer #1

1) Let X denote the event that 2 dice are the same then, there are six possible cases. While if Y denotes the number of pairs which sum up to eight is 5 which are {(2,6),(3,5),(4,4),(5,3),(6,2)}. Then the probability that 2 dice are the same or the sum of 8 is P(X or Y) =P(X) + P(Y) - P(X and Y) = 6/36 + 5/36 -1/36 = 10/36

2) The number of ways in which the positions can be filled with 3 females and 2 males is

3) There are two cases:

case 1: the first ball drawn is green: then probability than 2nd ball is green=

case 2: the first ball is orange: hen probability than 2nd ball is green=

Hence, the probability than 2nd ball is green= 1/12 + 1/4 = 1/3

Suppose you roll, two
6-sided dice Write any probability as a decimal to three place
values and the odds using a colon. Determine the following:
1. The probability
that you roll a sum of seven (7)
2. The odds for
rolling a sum of four (4) is
3. The odds against
the numbers on both dice being the same is
Suppose you have a bag
with the following marbles: four (4) red, six (6) pink, two (2)
green, and seven...

**ASAP**
A bag contains 7yellow marbles, 10 red marbles, 6 green marbles.
If one marble is drawn from the bag then replaced, what is the
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In a number guessing game. You ask a person to guess a number from
one 1 to 10. If the person makes a random guess, what is the
probability their guess will be less than 8?
A bag contains 10 blue marbles, 6...

A bag contains 4 blue, 2 red, 1 green, and 3 orange
marbles.
1. Find the probability of selecting 3 orange marble using
independent probability.
2. Find the probability of selecting 3 blue marbles
using dependent probability.

A bag contains 6 red, 5 white, and 8 blue marbles. Find the
probability of picking 3 white marbles if each marble is NOT
returned to the bag before the next marble is picked. Include
several decimal places, or round to the nearest fourth decimal
place.

A bag contains 3 red marbles, 5 blue marbles, 8 yellow marbles,
and 7 green marbles. What is the probability of choosing a yellow
or green marble when one marble is drawn?

A bag contains 3 red marbles, 5 blue marbles, 8 yellow marbles,
and 7 green marbles. What is the probability of choosing a yellow
or green marble when one marble is drawn?

A jar contains 6 red marbles, 9 green marbles, and 3 blue
marbles. Suppose you draw three marbles, without replacement.
A) Draw a probability tree to represent this experiment.
B) What is the probability that you draw a red marble?
C) What is the probability that you draw 3 green marbles in a
row?
D) What is the probability that you draw one of each color?

a)A bag contains 4 red marbles, 2 green ones, 1 lavender one, 2
yellows, and 3 orange marbles.
How many sets of five marbles include at most one of the yellow
ones?
b)A bag contains 3 red marbles, 6 green ones, 1 lavender one, 6
yellows, and 5 orange marbles.
How many sets of five marbles include either the lavender one or
exactly one yellow one but not both colors?

1. A bag contains 10 black marbles, 8 red marbles, 7
yellow marbles. If one marble is drawn from the bag then replaced,
what is the probability of drawing a black marble then a yellow
marble?
2. In a number guess game you ask a person to guess a
number from 1 to 10. If the person makes a random guess, what is
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3. A bag contains 8 blue marbles, 7...

a. In rolling 3 fair dice, what is the probability of obtaining
a sum not greater than 16?
b. In rolling 2 fair dice, what is the probability of a sum
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c. If a box contains 10 left-handed and 20 right-handed screws,
what is the probability of obtaining at least one right-handed
screw in drawing 2 screws with replacement?
d. Will the probability in Prob. 5 increase or decrease if we
draw without...

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