Combined events and tree diagramsIB MYP Maths Standard: Flashcards

What these 13 flashcards ask

What is the range of any probability?
How do you find P(not A)?
What does independent mean for two events?
State the multiplication rule for independent events.
What does mutually exclusive mean?
State the addition rule for mutually exclusive events.
On a tree diagram, what do you do along a route?
On a tree diagram, what do you do for several routes to one outcome?
What must the branches from one point add up to?
With replacement, are the draws independent?
Without replacement, what changes on the second draw?
Bag with 3 red and 2 green, two taken without replacement. P(both red)?
Quick way to find P(at least one)?

Exam questions on Combined events and tree diagrams

A spinner in a board game played in Nairobi lands on green with probability $0.3$ and on yellow with probability $0.7$ . It is spun twice, and the two spins are independent.
Find the probability that at least one spin lands on yellow.2 marks
In a dormitory in Seoul, a drawer contains $6$ black socks and $4$ white socks. Two socks are taken at random, one after the other, without replacement.
Find the probability that both socks are white.2 marks
A basketball player in Manila scores each free throw with probability $0.7$ , independently of her other throws. She takes three free throws.
Find the probability that she scores exactly two of the three throws.3 marks

Written by the Exaim team, led by Shaun Daswani (Head of Upper Secondary, Improve ME Institute; MSc Financial Mathematics, Imperial College London; BSc, UCL) and Jason Daswani (operational lead, Improve ME Institute; LSE).