Yellow White Two
Probability of drawing less than two yellow marbles?

A bag contains 8 red marbles, 8 blue marbles, 10 white marbles and 8 yellow marbles. You are asked to draw 5 marbles from the bag without replacement. What is the probability drawing less than two yellow marbles?

There are 8 yellow marbles and 26 which are not yellow, a total of 34.

Probability of drawing less than 2 yellows
= probability of drawing 0 OR 1 yellow
= probability of drawing 0 yellows + probability of drawing 1 yellow.

Probability of drawing 5 marbles which are not yellow:

P(0)= (26x25x24x23x22)/(34x33x32x31x30)

Probability of drawing 1 yellow followed by 4 which are not yellow:

P(1)= (8/34)x(26x25x24x23)/(33x32x31x30)

The yellow can be drawn on 1st, 2nd, 3rd, 4th or 5th turn, so this probability must be multiplied by 5.

So the total probability is

P(0,1) = (5x8+22)x(26x25x24x23)/(34x33x32x31x30) = 0.6662.

US Auctions Australian Auctions Austrian Auctions Belgian Auctions Canadian Auctions French Auctions German Auctions Indian Auctions Irish Auctions Italian Auctions Dutch Auctions Polish Auctions Spanish Auctions Swiss Auctions UK Auctions

Best Match Time: ending soonest Time: newly listed Price: lowest first Price: highest first Price + Shipping: lowest first Price + Shipping: highest first

Two Heart Promise Engagement White Ye Gold Diamond Ring    US $139.99

14k White Gold Diamond Claddagh Irish Ring Wedding    US $159.99

White Gold Moissanite Solitaire Pendant 1.50 cts Chain    US $862.40

White Gold Moissanite Solitaire Pendant 1.20 cts Chain    US $750.40

3.42CT 14Kt Yellow Gold Diamond Pear Red Ruby Pendant    US $365.00

Brand New 2.9 CTW Citrine Sterling Silver Ring Size 7    US $22.00

White Gold Moissanite Solitaire Pendant 0.50 cts Chain    US $470.40

Brand New Freshwater Pearl Gold Pendant    US $46.00

Brand New FPJ 1.7 CTW Amethyst Gold Ring Size 7    US $252.00

14k 2 Two Tone Gold Necklace Pave Chain 6.4mm 20    US $927.00

CHOCOLATE CHAMPAGNE DIAMOND CROSS PENDANT YELLOW GOLD    US $149.90

R269, Mercury Mist Topaz, Gold Ring    US $344.24

2.00 carat yellow canary diamonds anniversary ring new    US $4,850.00

Double Two Dolphin Diamond Ring Ladies White Gold NEW    US $69.99

9CT BLUE TOPAZ & DIAMOND 14K WHITE GOLD COCKTAIL RING    US $299.00

Brand New Freshwater Pearl Gold Earrings    US $123.00

Heart 6.5mm 14Kt Natural 0.49CT Diamond Mount Earrings    US $329.00

Solid 14kt White Gold Diamonds Pink Tourmaline Ring    US $260.00

Black and White Diamond Two Dolphin Pendant White Gold    US $149.99

Mothers Day Family Ring Sterling Silver 14k Gold White    US $159.90

Two Heart Promise Engagement White Gold Diamond Ring    US $299.00

Solid 12.8Ct 14Kt White Gold Diamond Blue Topaz Pendant    US $360.00

0.82ct Diamond 14k White Gold ring Size 5-8    US $458.00

0.8 CT I VS2 ASSCHER CUT DIAMOND SOLITAIRE PENDANT GOLD    US $2,142.00

Pear 3.44CT 14Kt Natural Diamond Blood Red Ruby Ring    US $285.00

Pear 6x8mm 14K Y/Gold 0.76CT Diamond Setting Earrings    US $350.00

Round 6mm 14Kt Yellow Gold Diamond Mounting Earrings    US $338.00

HS 18K YELLOW & WHITE GOLD CABLE LINK CHAIN 3.9mm 16"    US $369.99

Diamond White Gold Heart Promise Ring Band Micro pave    US $159.90

Diamond Love Knot Ring White Yellow 14k Gold 1/2ct NEW    US $699.00

Black Diamond Earrings Heart White Yellow Gold Dangle    US $239.99

Natural Sapphires in 14k Yellow Gold Huggie Earrings    US $119.99

Two Heart Promise Right Hand Diamond Yellow Gold Ring    US $99.99

Princess Cut Diamond Wedding Set Engagement Ring 1 CT    US $599.99

Diamond Whit Yellow Gold Heart Promise Engagement Ring    US $99.99

14k Yellow Gold Diamond Claddagh Irish Ring Wedding    US $129.99

Two Heart Promise Right Hand Diamond white Gold Ring NR    US $109.99

Trillion 6x6mm 14k Gold 0.32Ct Diamond Mounting Pendant    US $280.00

Double Two Dolphin Diamond Ring Ladies White Yelow Gold    US $109.99

View Page:   1  2  3