Two experiments are defined below. An event is defined for each of the experiments. Experiment I: Ryan draws a ball from a bag that contains six balls, each of a different color. Only one of the balls is red. Event A: Ryan draws a red ball from the bag. Experiment II: Anna rolls a standard six-sided die. Event B: Anna rolls a five. Which statement about Event A and Event B is true?

Question

Bella Edwards

Mathematics

4 April, 08:10

Two experiments are defined below. An event is defined for each of the experiments. Experiment I: Ryan draws a ball from a bag that contains six balls, each of a different color. Only one of the balls is red. Event A: Ryan draws a red ball from the bag. Experiment II: Anna rolls a standard six-sided die. Event B: Anna rolls a five. Which statement about Event A and Event B is true?

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Answers (1)

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Rowland · Answer 1

The probability of both events happening is 1/6 I. e their probabilities are the same

Step-by-step explanation:

In this question, we are asked to compare two different probabilities in two different scenarios and write a statement that is true about the two events.

For experiment A, we have 6 different balls, with a single red ball. Let's say what is the probability of selecting a ref ball?

This can be written as;

P (red) = 1/6

In the second experiment, Anna rolls a die, what is the probability of the number 5 turning up. Since in a die, we only have the number 5 listed once, the probability of a number 5 turning up will be;

P (5) = 1/6

Hence, the true statement about both events is that the probabilities of both event A and B occurring is equal to each other