Skip to content

Course home

4.1 Probability (A-level only)

4.1 Probability (A-level only)

EasyMediumHard
123456789101112131415161718192021222324252627282930313233343536373839404142434445464748495051525354555657585960616263646566676869707172737475767778798081828384858687888990919293949596979899100101102103104105106107108109110111112113114115116117118119120121122123124125126127128129130131132133134135136137138139140141142143144145
Question 90

In an automated greenhouse, a monitoring system tracks high humidity levels (event HHH) and the activation of the mist irrigation system (event WWW). It is observed that:

P(H′∩W)=0.18andP(H′∩W′)=0.42 P(H' \cap W) = 0.18 \quad \text{and} \quad P(H' \cap W') = 0.42 P(H′∩W)=0.18andP(H′∩W′)=0.42
a.

Find P(H)P(H)P(H).

[2]
b.

Find P(H∪W)P(H \cup W)P(H∪W).

[2]
c.

Given that P(H∣W)=0.1P(H|W) = 0.1P(H∣W)=0.1,

find P(H∩W)P(H \cap W)P(H∩W).

[3]
d.

Determine whether or not HHH and WWW are independent.

[2]
Markscheme

4.1 Probability (A-level only) Questions

  1. A Level
  2. /Maths
  3. /4.1 Probability (A-level only)

164 exam-style questions on WJEC A Level Maths 4.1 Probability (A-level only), covering 4.1.1 Probability (A-level only), 4.1.2 Probability (A-level only), and 4.1.3 Probability (A-level only). Each one has a worked solution and a mark scheme showing where the marks go.

Question bank