Question

the table below gives the probability density of balls remaining for a game of bingo. if a ball is selected at random, what is the probability that its letter is an i or g? p =

Explanation:

Step1: Identify the probabilities

The probability of getting an 'I' is \(P(I) = 0.22\), and the probability of getting a 'G' is \(P(G)=0.26\).

Step2: Use the addition rule for mutually - exclusive events

Since getting an 'I' and getting a 'G' are mutually - exclusive events (a ball can't be both 'I' and 'G' at the same time), the formula \(P(A\cup B)=P(A)+P(B)\) is used. Here \(A = I\) and \(B = G\), so \(P(I\cup G)=P(I)+P(G)\).
Substitute the values: \(P(I\cup G)=0.22 + 0.26\).
\(P(I\cup G)=0.48\)

Answer:

\(0.48\)