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Chapter 35: Problem 1105

In a single throw of a single die, find the probability of obtaining either a 2 or a 5 .

Short Answer

Expert verified
The probability of obtaining either a 2 or a 5 in a single throw of a single die is \(\frac{1}{3}\).

Step by step solution

01

Determine the number of favorable outcomes

Our favorable outcomes are only two: getting a 2 or a 5.
02

Determine the total number of possible outcomes

A standard die has 6 sides, which means there are 6 possible outcomes when rolling the die (1,2,3,4,5, and 6).
03

Calculate the probability

To calculate the probability, we need to divide the number of favorable outcomes by the total number of possible outcomes. Using the numbers we determined in the previous steps, the probability is: \[P(2 \text{ or } 5) = \frac{\text{Number of favorable outcomes}}{\text{Total number of possible outcomes}} = \frac{2}{6}\]
04

Simplify the answer

We can simplify the fraction \(\frac{2}{6}\) to \(\frac{1}{3}\). So the probability of getting either a 2 or a 5 in a single throw of a die is \(\frac{1}{3}\) .

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Most popular questions from this chapter

There is a box containing 5 white balls, 4 black balls, and 7 red balls. If two balls are drawn one at a time from the box and neither is replaced, find the probability that (a) both balls will be white. (b) the first ball will be white and the second red. (c) if a third ball is drawn, find the probability that the three balls will be drawn in the order white, black, red.

A box contains 7 red, 5 white, and 4 black balls. What is the probability of your drawing at random one red ball? One black ball?

From 20 tickets marked with the first 20 numerals, one is drawn at random: find the chance that it is a multiple of 3 or of 7 .

An urn contains 6 white, 4 black, and 2 red balls. In a single draw, find the probability of drawing: (a) a red ball; (b) a black ball; (c) either a white or a black ball. Assume all outcomes equally likely.

If two dice are cast, what is the probability the sum will be less than 5 ?
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