Mr Daniels Maths
Probability

Set 1

Set 2

Set 3

Q1) There are 9 purple beads ,and 9 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)=\(\frac{1}{2}\).
b) P(green)=\(\frac{1}{2}\).
]

Q1) There were 10 red pens ,and 7 green pens in a packet . Two pens were picked and not replaced. What was the probability they were both red ?
[ \(\frac{45}{136}\) ]

Q1) There were 10 purple apples ,and some green apples in a box . Two apples were picked at random and not replaced. The probability they were both purple was \(\frac{45}{136}\). How many green apples were there ?
[ 7 ]

Q2) There are 6 blue beads ,and 2 red beads in a bag.
a) What is the probability of picking a blue bead?
b) What is the probability of picking a red bead?
[ a) P(blue)=\(\frac{3}{4}\).
b) P(red)=\(\frac{1}{4}\).
]

Q2) There were 10 green pens ,and 9 blue pens in a tin . Two pens were picked and not replaced. What was the probability they were both green ?
[ \(\frac{5}{19}\) ]

Q2) There were 8 purple pencils ,and some blue pencils in a bag . Two pencils were picked at random and not replaced. The probability they were both purple was \(\frac{14}{39}\). How many blue pencils were there ?
[ 5 ]

Q3) There are 6 blue pencils, 10 are purple pencils, and 8 are yellow pencils in a box
a) What is the probability of picking a blue one?
b) What is the probability of picking a purple one?
c) What is the probability of picking a yellow one?
[ a) P(blue)=\(\frac{1}{4}\).
b) P(purple)=\(\frac{5}{12}\).
c) P(yellow)=\(\frac{1}{3}\).
]

Q3) There were 10 green beads ,and 7 blue beads in a tin . Two beads were picked and not replaced. What was the probability they were both green ?
[ \(\frac{45}{136}\) ]

Q3) There are 6 purple apples ,and some green apples in a box . 5 extra green apples were added. Two apples were picked at random and not replaced. The probability they were both purple was \(\frac{1}{7}\). How many green apples were there to begin with ?
[ 4 ]

Q4) There are 8 yellow pens, 7 are red pens, and 8 are purple pens 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 purple one?
[ a) P(yellow)=\(\frac{8}{23}\).
b) P(red)=\(\frac{7}{23}\).
c) P(purple)=\(\frac{8}{23}\).
]

Q4) There were 9 purple sweets ,and 6 blue sweets in a tin . Two sweets were picked and not replaced. What was the probability they were both purple ?
[ \(\frac{12}{35}\) ]

Q4) There were 7 purple pencils ,and some blue pencils in a bag . Two pencils were picked at random and not replaced. The probability they were both purple was \(\frac{3}{13}\). How many blue pencils were there ?
[ 7 ]

Q5) There are 3 red beads ,and 10 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)=\(\frac{3}{13}\).
b) P(purple)=\(\frac{10}{13}\).
]

Q5) There were 7 yellow sweets ,and 3 blue sweets in a bag . Two sweets were picked and not replaced. What was the probability they were both yellow ?
[ \(\frac{7}{15}\) ]

Q5) There were 10 blue apples ,and some yellow apples in a tray . Two apples were picked at random and not replaced. The probability they were both blue was \(\frac{15}{22}\). How many yellow apples were there ?
[ 2 ]