An urn contains 7 blue and 3 yellow chips. If the drawing of chips is done with replacement, determine the probability of:

(a) Drawing three yellow chips.
(b) Drawing a blue chip on the first draw and a yellow chip on the second draw.
(c) Drawing a blue chip on the second draw given that a yellow chip was drawn on the first draw.
(d) Drawing a yellow chip on the second draw given that a blue chip was drawn on the first draw.
(e) Drawing a yellow chip on the second draw given that a yellow chip was drawn on the first draw.

Solution Preview

An urn contains 7 blue and 3 yellow chips. If the drawing of chips is done with replacement, determine the probability of:

(a) Drawing three yellow chips.
Answer:
(3/7) x (3/7) x (3/7) = ...

Two cards are drawn from single deck of 52 cards one after the other.
- Find the probability of selecting a king from the first card.
- If the first card is king and the card is not replaced, what is the probability of selecting a king from the second card?
- Find the probability of selecting a king from the first card

A box contains 4 marbles: 2 red, one blue and one green. Two marbles will be selected at random. Find the probability of selecting each of the following.
A) withreplacement B) without replacement
i A red marble and then a blue marble
ii Two blue marbles
iii No red marbles
iv No green marbles.

Three letters from A, B, C, D, and E are selected one at a time (without replacement).
a. What is the probability that they are selected in alphabetical order?
b. What is the probability that they are selected in alphabetical order, if B is the first letter selected.

A jar contains a variety of coins. The coins are distributed as follows:
60 pennies
33 nickels
27 dimes
75 quarters
For this distribution, find the probability of randomly selecting the following coins:
a) a nickel
b) a quarter, a dime or a penny
c) two quarters or two dimes, with replacemen

Consider a standard deck of playing cards. You randomly select a card from the deck and find that you have drawn a face card. If you don't replace the card, what is the probability that the next card you draw will be a king?

Two boxes of light bulbs are in a warehouse. Box 1 contains 95 good bulbs and 5 defective bulbs, while Box 2 contains 90 good and 10 defective bulbs. We choose one of these boxes at random and test 3 bulbs chosen at random from this box, without replacement. If all 3 bulbs are defective, what is the probability that we selected

A jar contains 12 marbles, 5 of which are blue and 7 of which are red. If 4 marbles are chosen at random and without replacement, what is the probability of selecting 3 blue ones and 1 red one?
a. 5C3 x 7C1/12C4
b. 5P3 x 7P1/12P4
c. 5C2 x 7P2/12
d. Answer not listed

There are 20 people in a room, 15 men and 5 women. Ten of the men are 30 years of age or older and the other five are under 30. Four of the women are under 30 and one is over 30.
If I pick a person at random what is the probability of picking a man? A woman?
If I pick a person at random what is the probability the pe

Please help with the following probability questions.
The condition for the question is that the deck of cards has 52 cards and among them are 12 face cards.
1. a) What is the probability of choosing 6 face cards out of 8 chosen (through binomial distribution holds, meaning withreplacement)?
b) What is the probability of

An engineer experiments with a sample of 2 vascular plants (V) and 4 nonvascular plants (N). She randomly selects two plants for further experimentation.
(a) Find the probability that the first and second plants are (N) withreplacement (Withreplacement means a sampling method to select samples in which items are repl