Question

three cards labelled 2, 3 and 4 are placed face down on a table. two of the cards are selected randomly. the outcomes are displayed in the following tree diagram. what is the probability of selecting the number 4? a) 2/4 b) 4/2 c) 4/6 d) 6/2

Explanation:

Step1: Count total outcomes

The tree - diagram shows there are 6 total possible outcomes when 2 cards are selected (2 - 3, 2 - 4, 3 - 2, 3 - 4, 4 - 2, 4 - 3).

Step2: Count favorable outcomes

The number 4 appears in 4 of these outcomes (2 - 4, 3 - 4, 4 - 2, 4 - 3).

Step3: Calculate probability

The probability \(P\) of an event is given by \(P=\frac{\text{Number of favorable outcomes}}{\text{Total number of outcomes}}\), so \(P = \frac{4}{6}\).

Answer:

C. 4/6