Q1) There are 5 red pencils, 5 are purple pencils, and 8 are yellow pencils in a bag
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)=\(\frac{5}{18}\).
b) P(purple)=\(\frac{5}{18}\).
c) P(yellow)=\(\frac{4}{9}\).
]

Q1) There were 9 yellow pens ,and 10 green pens in a draw . Two pens were picked and not replaced. What was the probability they were both yellow ?
[ \(\frac{4}{19}\) ]

Q1) There are 10 green pens ,and some red pens in a box . 9 extra red pens were added. Two pens were picked at random and not replaced. The probability they were both green was \(\frac{15}{77}\). How many red pens were there to begin with ?
[ 3 ]

Q2) There are 6 red pens, 4 are green pens, and 3 are yellow pens in a packet
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 yellow one?
[ a) P(red)=\(\frac{6}{13}\).
b) P(green)=\(\frac{4}{13}\).
c) P(yellow)=\(\frac{3}{13}\).
]

Q2) There were 5 yellow sweets ,and 2 red sweets in a tray . Two sweets were picked and not replaced. What was the probability they were both yellow ?
[ \(\frac{10}{21}\) ]

Q2) There are 8 green sweets ,and some purple sweets in a tin . 8 extra purple sweets were added. Two sweets were picked at random and not replaced. The probability they were both green was \(\frac{7}{75}\). How many purple sweets were there to begin with ?
[ 9 ]

Q3) There are 10 purple beads ,and 5 yellow beads in a bag.
a) What is the probability of picking a purple bead?
b) What is the probability of picking a yellow bead?
[ a) P(purple)=\(\frac{2}{3}\).
b) P(yellow)=\(\frac{1}{3}\).
]

Q3) There were 8 blue pens ,and 9 red pens in a packet . Two pens were picked and not replaced. What was the probability they were both blue ?
[ \(\frac{7}{34}\) ]

Q3) There were 5 red beads ,and some blue beads in a packet . Two beads were picked at random and not replaced. The probability they were both red was \(\frac{2}{21}\). How many blue beads were there ?
[ 10 ]

Q4) There are 3 green beads ,and 2 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)=\(\frac{3}{5}\).
b) P(red)=\(\frac{2}{5}\).
]

Q4) There were 10 red apples ,and 8 purple apples in a draw . Two apples were picked and not replaced. What was the probability they were both red ?
[ \(\frac{5}{17}\) ]

Q4) There are 8 purple apples ,and some red apples in a tray . 7 extra red apples were added. Two apples were picked at random and not replaced. The probability they were both purple was \(\frac{28}{171}\). How many red apples were there to begin with ?
[ 4 ]

Q5) There are 8 blue beads, 10 are yellow beads, and 5 are green beads in a bag
a) What is the probability of picking a blue one?
b) What is the probability of picking a yellow one?
c) What is the probability of picking a green one?
[ a) P(blue)=\(\frac{8}{23}\).
b) P(yellow)=\(\frac{10}{23}\).
c) P(green)=\(\frac{5}{23}\).
]

Q5) There were 5 purple pencils ,and 10 red pencils in a tray . Two pencils were picked and not replaced. What was the probability they were both purple ?
[ \(\frac{2}{21}\) ]

Q5) There are 8 purple sweets ,and some red sweets in a tin . 2 extra red sweets were added. Two sweets were picked at random and not replaced. The probability they were both purple was \(\frac{7}{30}\). How many red sweets were there to begin with ?
[ 6 ]