Question

1. the diagram shows the decisions of 319 workers choosing to work and workers choosing to strike on a particular day of industrial action. find the probability that a worker selected randomly chose to:

...
8b strike and work.
...
8c work and not strike.
$p = \boxed{\text{enter your next step here}}$

Explanation:

Step1: Determine total workers

Total workers = 319 (given).

Step2: Analyze mutually exclusive events

Striking and working are mutually exclusive (a worker can't do both, as seen in 8b where \( P = 0 \)). Let the number of workers who chose to strike be \( S \), and those who chose to work be \( W \). From 8a, \( P(\text{strike})=\frac{126}{319} \), so number of strikers \( n(S)=126 \).

Step3: Calculate workers who work and not strike

Workers who work and not strike: total workers - strikers = \( 319 - 126 = 193 \).

Step4: Find probability

Probability \( P=\frac{\text{workers who work and not strike}}{\text{total workers}}=\frac{193}{319} \).

Answer:

\( \dfrac{193}{319} \)