# Teaching Treasures™ learn Probability

Year 10 Maths Page 3

Probability

Reduce all answers to the lowest terms.

1) What is the probability of a head showing on a twenty-cent coin when thrown into the air and it landing on the ground?
2) If one card is randomly chosen from a deck of cards without jokers, what's the probability of it being a prime number?
3) If one letter is randomly picked from the alphabet, what would be the probability of that letter being a vowel?
4) If one letter is randomly picked from the alphabet, what would be the probability of that letter being a consonant?

A boy has a bag of 20 marbles; 7 red, 3 blue, 4 green and 6 yellow.

If one marble is taken from the bag, what is the probability of it being...
Reduce all answers to the lowest terms.

A)   Red?
B)  Yellow?
C)   Blue?
D)   Green?
E)  Not Blue?
F)   Red or Yellow?

Algebraic Fractions

Simplify the following algebraic fractions.
Reduce all answers to the lowest terms.

 X + X = + = 4 5

 2X + X = 3 8

 4X - 2X = 7 5

Problem (Geometry)

A right triangle truss has a hypotenuse of 6 metres and a height of 2.3 metres. What is the length of the base?