Question

7-If you select one card from a 52-card deck, find the
probability it is greater than 3 and less than 8.

8. Six movies (A, B, C, D, E, F) are being shown in random order.
Find the probability that B will be

shown first, F second, and D last.

9. In a lottery, six different numbers from 1-30 are drawn. A
player buys 1000 lottery tickets, all with

different sets of numbers. What is the probability this player wins
the grand prize?

10. One card is randomly selected from a deck of 52 cards. Find the
probability that the card is a heart

or an even number (2, 4, ..., 10).

11. In a game, players spin a wheel with ten equally likely
outcomes, 1-10. Find the probability that:

(a) In a single spin, the number that comes up is odd AND less than
5.

(b) In a single spin, the number that comes up is odd OR less than
5.

(c) In two spins, an odd number comes up first and a number less
than 5 comes up second

Answer #1

7) If we select one card from a 52-card deck, the probability it is greater than 3 and less than 8:

Number of cards in a 52-card deck which are greater than 3 and less than 8 (that is the numbers 4, 5, 6, 7).

Since there are 4 colors in a 52-card deck (black (spades ♠), red (hearts ♥), blue (diamonds. ) and green (clubs ♣)),

these 4 numbers would be there in all 4 colors. So we have total 16 cards which are greater than 3 and less than 8.

Therefore, If we select one card from a 52-card deck, the probability it is greater than 3 and less than 8 = 16/52 = 4/13

A single card is drawn from an ordinary 52-card deck. Find the
probability of getting a 4 of diamonds.

3. Find the probability that a 5-card hand (from a 52-card deck)
has the same number of spades and hearts.

One card is randomly drawn from a standard deck of 52 cards as
shown in the figure below. Using the sample space for drawing a
single card from this deck, find the probability that the card is a
king or a black card. Give your answer as a reduced fraction.

We are drawing a single card from a standard 52-card deck. Find
the following probability.
P(three | nonface card)
The probability is nothing. (Type an integer or a simplified
fraction.)

From a deck of 52 cards, what is the probability that you draw a
face card (J,Q,K), an Ace or a black card?
2. If you flip a coin 5 times and 4 times you see a head, what
is the probability that the next flip is a tail?
3. Using 2 eight-side dice, what is the probability that you
roll the most common combined number?
4. What is the probability that you roll 2 consecutive green
numbers (i.e., 0,00)...

A card is drawn at random from a standard 52–card deck. Find the
probability that the card is neither an ace nor a heart.

A card is randomly selected from a standard, 52-card deck. The
denomination on the card is recorded so that the resulting sample
space is {A, 2, 3, 4, 5, 6, 7, 8, 9, 10, K, Q, J}. (In other words,
we ignore the suits.) (a) (5 points) Given that the card selected
displays some number from 3 to 10 (inclusive), what is the
probability that the value on the card is not a multiple of 4? (b)
(5 points) Suppose...

17. Selecting a Card- A card is selected at random from
a standard deck. Find each probability.
A. Randomly selecting a diamond or seven
B. Randomly selecting a red suit or a queen
C. Randomly Selecting a three or face card
18. Rolling a Die- You roll a die. Find each
probability.
A. Rolling a six or a number greater than four
B. Rolling a number less than five or an odd number
C. Rolling a three or an even...

You draw a card from an ordinary 52 card deck. Let P (B) be the
probability of drawing a black car from the deck. Let P (R) be the
probability of drawing a prime numbered card from the deck.
In a single draw, what is the probability of drawing a black
prime numbered card? Write the probability using proper symbolism
and give the numerical solution.
What is the complement of drawing a black prime numbered card
in a single draw?...

A single card is drawn from a standard 52-card deck. Let D be
the event that the card drawn is a Heart, and let F be the event
that the card drawn is a 6 card. Find the indicated
probability.
P(DUF')=

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