probability-master-

Coins

100

You flip 5 coin. What is the probability of flipping a head?

1/2×1/2×1/2×1/2×1/2=1/32

200

You flip 14 coin. What is the probability of flipping a head at the second coin?

1/2

Second coin has a 1/2head and 1/2tail.

300

You flip 9 coins. What is the probability of flipping at least 1 heads?

1-1/2×1/2×1/2×1/2×1/2×1/2×1/2×1/2×1/2

=511/512

400

You flip 5 coins. What is the probability of flipping at least 3 tails?

1/2

500

You flip 15 coin. What is the probability of flipping a head?

1/32768

Dice

100

What is the probability of rolling a three on a 4 sided die?

1/4

200

You roll 3 dice. What is the probability of rolling a 5 and 2 and 4? Order does not matter.

1/36

300

You roll 3 dice. What is the probability of rolling a sum of fifteen or four?

{366,636,663,456,465,546,564,645,654,555,

112,121,211}

13/216

400

You roll 6 dice. What is the probability the six numbers are different?

1/6×1/5×1/4×1/3×1/2

=1/720

500

You roll 700 dice. What is the probability the seven-hundred numbers are same? Please choose one.

①1/(700!)

②1/(6^700)

③6/(6^700)

④6/(699!)

③6/(6^700)

{11111...,22222...,33333...,44444...,55555...,

66666...,}

Bag of Candy

100

You have a bag containing 160 yellow, 523 green and 317 orange candies. What is the probability of picking a yellow or orange.

477/1000

200

You have a bag containing 4 gold, 5 silver and 6 black candies. You take forteen candies without replacement. What is the probability of getting all candies silver?

0(silver candies are only 5 in a bag.)

300

You have a bag containing 3 yellow, 3 green and 3 orange balls. You pick 4 balls without replacement. What is the probability of picking at least 1 all color?Order does not matter.

1/27

400

You have a bag containing 450blue, 350red, 200pink, 150brown, 850green, 500purple and 500brown balls. You pick 1 balls. What is the probability of picking 1 brown? Order does not matter.

13/60(Brown is 150+500 in bag)

500

You have a bag containing 28 yellow, 4 green and 8 orange candies. You take seven candies with replacement. What is the probability of getting 7 green?

1/10000000(ten million)

Deck of Cards

100

What is the probability of picking a 100 in a deck of cards?

0(1~13 in cards)

200

You draw 1 card from a deck of 52 cards. What is the probability it is not a diamond nor a club?

1/2

300

You draw 1 card from a deck of 52 cards. What is the probability it is not a prime number nor a club?

6/13

400

You draw 4 card from a deck of 52 cards. What is the  probability of getting 4 King from a deck of cards?

24/(52×52×52×52)=24/7311616=1/913952

500

You draw 2 card from a deck of 52 cards. What is the  probability of getting at least 1 Diamond or a King from a deck of cards?

1-(36/52×35/51)

=116/221

probability sense

100

How probability Blood type O-type in Japanese baby?

about1/3

200

How probability twins in Japanese baby?

about1/100

300

How Probability of meteorite falling on your head?

about1/75000

400

How probability of winning the Japanese lottery first prize?

about1/20000000

500

How probability you meet someone next to you?

about1/5023650000000000000000000000