Mr Daniels Maths
Probability

Set 1

Set 2

Set 3

Q1) There are 6 red beads, 6 are green beads, and 6 are blue beads in a box
a) What is the probability of picking a red one?
b) What is the probability of picking a green one?
c) What is the probability of picking a blue one?
[ a) P(red)=\(\frac{1}{3}\).
b) P(green)=\(\frac{1}{3}\).
c) P(blue)=\(\frac{1}{3}\).
]

Q1) There were 7 yellow pens ,and 8 blue pens in a packet . Two pens were picked and not replaced. What was the probability they were both yellow ?
[ \(\frac{1}{5}\) ]

Q1) There are 6 green apples ,and some yellow apples in a box . 2 extra yellow apples were added. Two apples were picked at random and not replaced. The probability they were both green was \(\frac{5}{22}\). How many yellow apples were there to begin with ?
[ 4 ]

Q2) There are 3 red beads ,and 9 purple beads in a bag.
a) What is the probability of picking a red bead?
b) What is the probability of picking a purple bead?
[ a) P(red)=\(\frac{1}{4}\).
b) P(purple)=\(\frac{3}{4}\).
]

Q2) There were 8 blue pencils ,and 4 green pencils in a draw . Two pencils were picked and not replaced. What was the probability they were both blue ?
[ \(\frac{14}{33}\) ]

Q2) There are 4 green beads ,and some red beads in a draw . 4 extra red beads were added. Two beads were picked at random and not replaced. The probability they were both green was \(\frac{3}{68}\). How many red beads were there to begin with ?
[ 9 ]

Q3) There are 6 yellow beads ,and 10 purple beads in a bag.
a) What is the probability of picking a yellow bead?
b) What is the probability of picking a purple bead?
[ a) P(yellow)=\(\frac{3}{8}\).
b) P(purple)=\(\frac{5}{8}\).
]

Q3) There were 4 blue pens ,and 9 red pens in a tin . Two pens were picked and not replaced. What was the probability they were both blue ?
[ \(\frac{1}{13}\) ]

Q3) There are 6 red apples ,and some green apples in a packet . 7 extra green apples were added. Two apples were picked at random and not replaced. The probability they were both red was \(\frac{15}{253}\). How many green apples were there to begin with ?
[ 10 ]

Q4) There are 9 blue apples, 4 are red apples, and 4 are purple apples in a draw
a) What is the probability of picking a blue one?
b) What is the probability of picking a red one?
c) What is the probability of picking a purple one?
[ a) P(blue)=\(\frac{9}{17}\).
b) P(red)=\(\frac{4}{17}\).
c) P(purple)=\(\frac{4}{17}\).
]

Q4) There were 8 blue apples ,and 9 purple apples in a tray . Two apples were picked and not replaced. What was the probability they were both blue ?
[ \(\frac{7}{34}\) ]

Q4) There were 5 red sweets ,and some green sweets in a packet . Two sweets were picked at random and not replaced. The probability they were both red was \(\frac{2}{9}\). How many green sweets were there ?
[ 5 ]

Q5) There are 2 red beads ,and 4 blue beads in a bag.
a) What is the probability of picking a red bead?
b) What is the probability of picking a blue bead?
[ a) P(red)=\(\frac{1}{3}\).
b) P(blue)=\(\frac{2}{3}\).
]

Q5) There were 5 yellow pens ,and 5 blue pens in a tray . Two pens were picked and not replaced. What was the probability they were both yellow ?
[ \(\frac{2}{9}\) ]

Q5) There were 6 blue apples ,and some green apples in a bag . Two apples were picked at random and not replaced. The probability they were both blue was \(\frac{5}{22}\). How many green apples were there ?
[ 6 ]