Mr Daniels Maths
Probability

Set 1

Set 2

Set 3

Q1) There are 2 purplebeads, 9 are red beads, and 6 are yellow beads in a tray
a) What is the probability of picking a purple one?
b) What is the probability of picking a red one?
c) What is the probability of picking a yellow one?
[ a) P(purple)=\(\frac{2}{17}\).
b) P(red)=\(\frac{9}{17}\).
c) P(yellow)=\(\frac{6}{17}\).
]

Q1) There were 9 yellow pens ,and 2 green pens in a box . Two pens were picked and not replaced. What was the probability they were both yellow ?
[ \(\frac{36}{55}\) ]

Q1) There are 9 red pens ,and some yellow pens in a box . 4 extra yellow pens were added. Two pens were picked at random and not replaced. The probability they were both red was \(\frac{3}{10}\). How many yellow pens were there to begin with ?
[ 3 ]

Q2) There are 8 purplepens, 9 are yellow pens, and 2 are red pens in a packet
a) What is the probability of picking a purple one?
b) What is the probability of picking a yellow one?
c) What is the probability of picking a red one?
[ a) P(purple)=\(\frac{8}{19}\).
b) P(yellow)=\(\frac{9}{19}\).
c) P(red)=\(\frac{2}{19}\).
]

Q2) There were 10 green beads ,and 6 blue beads in a draw . Two beads were picked and not replaced. What was the probability they were both green ?
[ \(\frac{3}{8}\) ]

Q2) There are 9 blue beads ,and some red beads in a bag . 2 extra red beads were added. Two beads were picked at random and not replaced. The probability they were both blue was \(\frac{4}{19}\). How many red beads were there to begin with ?
[ 8 ]

Q3) There are 9 green beads ,and 6 blue beads in a bag.
a) What is the probability of picking a green bead?
b) What is the probability of picking a blue bead?
[ a) P(green)=\(\frac{3}{5}\).
b) P(blue)=\(\frac{2}{5}\).
]

Q3) There were 4 red pens ,and 3 green pens in a packet . Two pens were picked and not replaced. What was the probability they were both red ?
[ \(\frac{2}{7}\) ]

Q3) There are 7 purple apples ,and some red apples in a box . 10 extra red apples were added. Two apples were picked at random and not replaced. The probability they were both purple was \(\frac{1}{10}\). How many red apples were there to begin with ?
[ 4 ]

Q4) There are 4 yellowapples, 8 are red apples, and 4 are green apples in a packet
a) What is the probability of picking a yellow one?
b) What is the probability of picking a red one?
c) What is the probability of picking a green one?
[ a) P(yellow)=\(\frac{1}{4}\).
b) P(red)=\(\frac{1}{2}\).
c) P(green)=\(\frac{1}{4}\).
]

Q4) There were 10 green pens ,and 10 blue pens in a tray . Two pens were picked and not replaced. What was the probability they were both green ?
[ \(\frac{9}{38}\) ]

Q4) There are 7 green apples ,and some blue apples in a packet . 6 extra blue apples were added. Two apples were picked at random and not replaced. The probability they were both green was \(\frac{7}{51}\). How many blue apples were there to begin with ?
[ 5 ]

Q5) There are 3 yellowapples, 2 are blue apples, and 2 are red apples in a tin
a) What is the probability of picking a yellow one?
b) What is the probability of picking a blue one?
c) What is the probability of picking a red one?
[ a) P(yellow)=\(\frac{3}{7}\).
b) P(blue)=\(\frac{2}{7}\).
c) P(red)=\(\frac{2}{7}\).
]

Q5) There were 7 purple pens ,and 6 red pens in a box . Two pens were picked and not replaced. What was the probability they were both purple ?
[ \(\frac{7}{26}\) ]

Q5) There are 6 green pens ,and some yellow pens in a tray . 3 extra yellow pens were added. Two pens were picked at random and not replaced. The probability they were both green was \(\frac{5}{22}\). How many yellow pens were there to begin with ?
[ 3 ]