Question

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You can retry this question below A die is rolled. Find the probability of the given event.
(a) The number showine is a 1 . The probability is :
(b) The number showine is an even member The probability is :
(c) The number showine is ereater than 3 The probability is : Question Help: □ Video Ξ Message instructor

Answer 1

The probability of rolling a 1 on a fair six-sided die is 1/6, and the probabilities of rolling an even number or a number greater than 3 are both 1/2.

Step-by-step explanation:

When rolling a fair six-sided die, the probability of each outcome is equally likely. Let's calculate the probabilities for the different events mentioned.

• (a) The probability of the number showing is a 1: Since there are six faces and only one of them has the number 1, the probability is 1/6.
• (b) The probability of the number showing is an even number: There are three even numbers on a die (2, 4, and 6), so the probability is 3/6 or 1/2 after simplification.
• (c) The probability of the number showing is greater than 3: Numbers greater than 3 are 4, 5, and 6, so there are three favorable outcomes out of six possible ones, making the probability 3/6 or 1/2 after simplification.

In summary, we examined three scenarios with a fair six-sided die and calculated the respective probabilities, applying the fundamental principles of probability.