Mr Daniels Maths
Probability

Set 1

Set 2

Set 3

Q1) There are 2 purple beads ,and 8 blue beads in a bag.
a) What is the probability of picking a purple bead?
b) What is the probability of picking a blue bead?
[ a) P(purple)=\(\frac{1}{5}\).
b) P(blue)=\(\frac{4}{5}\).
]

Q1) There were 10 red pens ,and 9 green pens in a draw . Two pens were picked and not replaced. What was the probability they were both red ?
[ \(\frac{5}{19}\) ]

Q1) There were 4 red pens ,and some yellow pens in a tray . Two pens were picked at random and not replaced. The probability they were both red was \(\frac{6}{91}\). How many yellow pens were there ?
[ 10 ]

Q2) There are 5 red apples, 7 are blue apples, and 10 are green apples in a draw
a) What is the probability of picking a red one?
b) What is the probability of picking a blue one?
c) What is the probability of picking a green one?
[ a) P(red)=\(\frac{5}{22}\).
b) P(blue)=\(\frac{7}{22}\).
c) P(green)=\(\frac{5}{11}\).
]

Q2) There were 6 yellow sweets ,and 10 blue sweets in a box . Two sweets were picked and not replaced. What was the probability they were both yellow ?
[ \(\frac{1}{8}\) ]

Q2) There are 8 purple pens ,and some blue pens in a draw . 2 extra blue pens were added. Two pens were picked at random and not replaced. The probability they were both purple was \(\frac{7}{34}\). How many blue pens were there to begin with ?
[ 7 ]

Q3) There are 4 purple beads ,and 2 green beads in a bag.
a) What is the probability of picking a purple bead?
b) What is the probability of picking a green bead?
[ a) P(purple)=\(\frac{2}{3}\).
b) P(green)=\(\frac{1}{3}\).
]

Q3) There were 9 red beads ,and 3 green beads in a packet . Two beads were picked and not replaced. What was the probability they were both red ?
[ \(\frac{6}{11}\) ]

Q3) There were 10 green sweets ,and some blue sweets in a tray . Two sweets were picked at random and not replaced. The probability they were both green was \(\frac{5}{19}\). How many blue sweets were there ?
[ 9 ]

Q4) There are 5 red sweets, 2 are purple sweets, and 2 are yellow sweets in a draw
a) What is the probability of picking a red one?
b) What is the probability of picking a purple one?
c) What is the probability of picking a yellow one?
[ a) P(red)=\(\frac{5}{9}\).
b) P(purple)=\(\frac{2}{9}\).
c) P(yellow)=\(\frac{2}{9}\).
]

Q4) There were 9 yellow beads ,and 3 red beads in a packet . Two beads were picked and not replaced. What was the probability they were both yellow ?
[ \(\frac{6}{11}\) ]

Q4) There were 8 blue apples ,and some purple apples in a draw . Two apples were picked at random and not replaced. The probability they were both blue was \(\frac{4}{15}\). How many purple apples were there ?
[ 7 ]

Q5) There are 8 green beads ,and 9 red beads in a bag.
a) What is the probability of picking a green bead?
b) What is the probability of picking a red bead?
[ a) P(green)=\(\frac{8}{17}\).
b) P(red)=\(\frac{9}{17}\).
]

Q5) There were 10 yellow pens ,and 9 green pens in a tin . Two pens were picked and not replaced. What was the probability they were both yellow ?
[ \(\frac{5}{19}\) ]

Q5) There were 8 yellow pencils ,and some blue pencils in a bag . Two pencils were picked at random and not replaced. The probability they were both yellow was \(\frac{28}{55}\). How many blue pencils were there ?
[ 3 ]