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Determine whether the events are mutually exclusive or inclusive. Then find the probability.A jar of change contains 5 quarters, 8 dimes, 10 nickels, and 19 pennies. If a coin is pulled from the jar at random, what is the probability that it is a nickel or a dime?

mutually exclusive$\left[\frac{3}{7}\right]$

Intro Stats / AP Statistics

Algebra

Chapter 12

Probability and Statistics

Section 6

Statistical Measures

Sampling and Data

The Normal Distribution

Introduction to Combinatorics and Probability

Oregon State University

Baylor University

University of Michigan - Ann Arbor

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all right. So for 43 it's another review probability question from a previous lesson. And so we have 10 nickels, eight times 5/4 of 19 pennies, and we want to know what the probability of drawing a nickel or a dime out of the pocket or wherever it waas, um, from the pile. And so the first thing we need to understand is that there's no overlap here. You cannot have both a nickel and a dime be the same thing. So in this case, this is called me exclusive. And so that means because it's mutually exclusive is that there's gonna be no overlap. So here is we're going to dio we're gonna figure out the total number of coins So we about 10 plus eight is 18 18 plus five is 23 23 plus 19 is 42 so there's 32 coins and we know that there are 10 nickels, so that's the probability of nickel, and we're going to add the probability of the dive. So there are eight dives in our pile after 22 so we end up getting 18 out of 42 now both 18 and 42 can be reduced by a six that we divide both the top and bottom by six, and that gives us a final answer of 3/7.

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