$CATEGORY: Maths - TicTacLearn/14. Probability/14. Probability--Probability-A Theoretical Approach

//Multiple Choice

What is the total number of face cards in a standard deck of cards? {
~8
=12
~10
~16
}

If a card is drawn from a well-shuffled deck, what is the probability of getting a red card? {
=1/2
~1/3
~1/4
~2/3
}

How many black suits are present in a standard deck of 52 cards? {
~1
=2
~3
~4
}

How many cards are there in two full decks combined? {
~102
=104
~106
~108
}

What is the probability of getting a diamond from a full deck of cards? {
=1/4
~1/3
~1/13
~1/2
}

How many suits are there in a deck of cards? {
~2
=4
~6
~8
}

What is the probability of drawing a face card from a full deck? {
~4/52
=12/52
~16/52
~3/52
}

How many total red cards are there in a deck of cards? {
~12
=26
~24
~32
}

If one card is drawn, what is the probability of getting a spade? {
=1/4
~1/3
~1/2
~1/13
}

What is the probability of getting a face card from a well-shuffled deck? {
~1/4
=3/13
~1/2
~1/13
}

//True or False

There are 13 cards in each suit of a standard deck. {T}

A full deck of cards has 60 cards. {F}

The sum of the probabilities of all outcomes is always 1. {T}

Face cards consist of Ace, King, and Queen. {F}

If you draw a card from a well-shuffled deck, the probability of getting a spade is 1/4. {T}

Diamonds and hearts are black-colored suits. {F}

Removing the face cards leaves 40 cards in a full deck. {T}

Probability is always expressed between 0 and 1. {T}

A deck of cards contains only two jacks. {F}

King is the highest valued face card. {T}

//Numericals

If four cards are drawn from a deck without replacement, what is the probability that none of them is a face card? {
~36/51
~38/52
=40/52
~48/52
}

What is the probability of drawing a heart from a standard deck? {
~1/2
~1/3
=1/4
~1/5
}

How many ways are there to draw a face card from a full deck? {
~40
~13
=12
~26
}

If two cards are drawn without replacement, what is the probability of drawing two red cards? {
~26/51
=25/51
~13/52
~1/26
}

If a king is drawn and not replaced, what is the probability of drawing another king? {
~1/51
~2/52
~4/51
=3/51
}

//Fill in the blanks

A deck of cards has _____ suits. {
~1
~2
~3
=4
}

There are _____ face cards in each suit. {
=3
~4
~5
~6
}

The probability of getting a red card is _____ when drawing one card. {
~1/4
=1/2
~1/3
~1/5
}

If a queen is removed from the deck, the total number of cards becomes _____. {
=51
~52
~50
~49
}

Removing three diamonds leaves _____ diamond cards in the deck. {
~13
=10
~11
~9
}

The sum of probabilities of all elementary events is always _____. {
~0
~0.5
=1
~2
}

Jack has the value of _____. {
=11
~10
~12
~13
}

Removing five, six, and seven from each suit will result in _____ remaining cards in a deck. {
=80
~78
~72
~76
}

A black jack belongs to the _____ suit. {
~Hearts
~Diamonds
=Spades
~Clubs
}

The total number of kings in a full deck of cards is _____. {
~2
~3
=4
~5
}

//Match the following

Match the following items from Column A with their correct corresponding options from Column B\:
{
= A card with value 13 -> King
= Red-colored suit -> Diamonds
= Total face cards -> 12
= A card with value 11 -> Jack
= Total number of suits -> 4
}



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