Question

1. Two cards are drawn from a well-shuffled ordinary
deck of 52 cards. Find the probability that they are both aces if
the first card is (a) replaced, (b) not replaced.

2. Find the probability of a 4 turning up at least once in two
tosses of a fair die.

3. One bag contains 4 white balls and 2 black balls; another
contains 3 white balls and 5 black balls. If one ball is drawn from
each bag, find the probability that (a) both are white, (b) both
are black,(c) one is white and one is black.

4. Box I contains 3 red and 2 blue marbles while Box II contains 2
red and 8 blue marbles. A fair coin is tossed. If the coin turns up
heads, a marble is chosen from Box I; if it turns up tails, a
marble is chosen from Box II. Find the probability that a red
marble is chosen.

Answer #1

Two cards are drawn successively from an ordinary deck of 52
well-shuffled cards. Find the probability that a. the first card is
not
a Four of Clubs or an Five;
b. the first card is an King but the second is not;
c. at least one card is a Spade;

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
the probability their guess will be less than 4?
3. A bag contains 8 blue marbles, 7...

A bag contains 8 blue marbles, 3 red marbles, 7 yellow marbles.
If one marble is drawn from the bag then replaced, what is the
probability of drawing a blue marble then a yellow marble?
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 3?
A bag contains 3 white marbles, 7 yellow marbles,...

3) Two cards are drawn from deck, with replacement. (This means
that one person chooses a card,looks at it and returns it, and then
another person chooses a card, looks at it, and returns it.) What
is the probability that ...
(a) ... the first card is an ace and the second card is
black?
(b) ... both cards are spades?
(c) ... neither card has a value from {2, 3, 4, 5}?(d) ... at
least one card is an...

A bag initially contained 4 white marbles and 9 black marbles. A
marble was drawn and replaced by two marbles of the opposite
colour. Then another marble was drawn and also replaced by two
marbles of the opposite colour. A third marble was then drawn. Find
the probability that the first marble drawn was white if:
(a) the third marble drawn was white
(b) both the second and third marbles drawn were white.

Two marbles are drawn without replacement from a box with 3
white, 2 green, 2 red, and 1 blue marble. Find the probability that
both marbles are white.

A card is drawn from a well-shuffled deck of 52 playing cards.
What is the probability that it is a queen or a heart?

I choose a card at random from a well-shuffled deck of 52 cards.
There is a 1/4 probability that the card is chosen is a spade, a
1/4 probability that the card is a heart, a 1/4 probability that
the card is a diamond, and a 1/4 probability that the card is a
club. Both spades and clubs are black cards, whereas hearts and
diamonds are red. What are the events of the card is a heart and a
card...

2. A card is chosen from a deck of cards. If it is a 9 or a 10,
you choose a ball from box 1. Otherwise you choose a
ball from box 2. Box 1 contains 4 blue balls and 9 white balls. Box
2 contains 4 white balls and 7 blue balls. What is the probability
that you end up with a blue ball? (3)

**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
probability of drawing a yellow marble then a green marble?
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...

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