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Probability in Everyday Scenarios Quiz

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#1

In a standard deck of playing cards, what is the probability of drawing a red card?

1/3
Explanation

There are 26 red cards in a standard deck of 52 cards.

#2

If you roll a fair six-sided die, what is the probability of rolling an even number?

1/2
Explanation

There are 3 even numbers (2, 4, 6) out of 6 possible outcomes.

#3

In a deck of cards, what is the probability of drawing a face card (Jack, Queen, or King)?

4/13
Explanation

There are 12 face cards in a deck of 52 cards.

#4

If you roll a fair six-sided die, what is the probability of rolling a prime number?

1/3
Explanation

There are 2, 3, and 5 as prime numbers out of 6 possible outcomes.

#5

You have a deck of cards with 52 cards. What is the probability of drawing a card that is not a face card?

9/13
Explanation

There are 40 non-face cards out of 52 total cards.

#6

You have a bag with 8 red balls, 5 green balls, and 3 blue balls. What is the probability of randomly selecting a green ball?

5/16
Explanation

There are 5 green balls out of 16 total balls.

#7

If you flip a fair coin three times, what is the probability of getting exactly two heads?

3/8
Explanation

There are 3 ways to get 2 heads (HHH, HHT, THH) out of 8 possible outcomes.

#8

You have a bag with 10 marbles: 4 red, 3 blue, and 3 green. What is the probability of drawing a red marble, followed by a blue marble, without replacement?

4/29
Explanation

Probability calculated for sequential events without replacement.

#9

If you roll two six-sided dice, what is the probability that the sum of the two numbers is 7?

1/6
Explanation

There are 6 ways to get a sum of 7 out of 36 possible outcomes.

#10

If you randomly select two cards from a well-shuffled standard deck, what is the probability that at least one card is a face card?

5/17
Explanation

Calculated using the complement probability.

#11

A jar contains 30 red balls, 20 green balls, and 50 blue balls. What is the probability of drawing a red or green ball?

1/2
Explanation

There are 50 red or green balls out of 100 total balls.

#12

In a group of 20 people, what is the probability that at least two people share the same birthday?

60%
Explanation

Calculated using the birthday paradox formula.

#13

You have a bag with 5 red balls and 5 blue balls. If you draw two balls without replacement, what is the probability that both balls are red?

2/9
Explanation

Probability calculated for sequential events without replacement.

#14

If you flip a fair coin four times, what is the probability of getting exactly three tails?

1/8
Explanation

There are 4 ways to get 3 tails out of 16 possible outcomes.

#15

In a lottery with 50 numbered balls, if you need to choose 6 numbers, what is the probability of winning the jackpot?

1/13983816
Explanation

Calculated using the combination formula for choosing 6 numbers out of 50.

#16

You have a standard six-sided die. If you roll it twice, what is the probability of getting a 1 on the first roll and a 6 on the second roll?

1/36
Explanation

Probability calculated for independent events.

#17

If you randomly select three cards from a well-shuffled standard deck, what is the probability that all three cards are spades?

1/64
Explanation

Probability calculated for sequential events without replacement.

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