determine-whether-the-events-are-mutually-exclusive-or-inclusive-then-find-the-probability-a-jar-of-

Question

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?

Trinity Steen · Accepted Answer

all right. So for 43 it&#x27;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&#x27;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&#x27;s mutually exclusive is that there&#x27;s gonna be no overlap. So here is we&#x27;re going to dio we&#x27;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&#x27;s 32 coins and we know that there are 10 nickels, so that&#x27;s the probability of nickel, and we&#x27;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.

Trinity Steen · Answer

So for number 42 it&#x27;s a probability review question from previous lesson, and we&#x27;re talking about cars. Oh, a standard deck of cards has 52 in them. And if I&#x27;m drawing a five, there are 45 in a deck of cards of 52. And then if this is an or problem, that can happen to have some overlap, because there is such a thing as a US a spade of 55 of spades. So we&#x27;re gonna have to find the probability of the five. So that&#x27;s right here. And then I need to find the probability of me getting a spade. That&#x27;s what&#x27;s going to go here. So spades, um, there&#x27;s 13 of them, so there&#x27;s a 13 out of 52 chance that I can drop a spade. But then we also want to know what about, like that overlap. And so it&#x27;s including that overlap. And so, with that being said, we can, we need to subtract that possible overlap. If that was the case, there&#x27;s one that exists with five out of 52 so we go ahead ad four plus 13 and subtract one that&#x27;s going to get us 16 out of 52 and then we divide by four to reduce. That&#x27;s gonna get us for 13th. And the question the directions was asking at identify whether or not it was inclusive or exclusive, though this one is going to be mutually inclusive because of the possibility of the overlap happening.

Ankit Gupta · Answer

in the SEC. There are a number of times is equal toe seven and number off nickel coins is far five and number off quarters are is equal. Toby Then now the daughter. Lumber off guns is equal. Toby seven plus five plus 10 which is equal, Toby 22. Now we need to find operability off. Selecting 34 times three nickels and 1/4 corns. So crib lt is equal for selecting four times and three nickels and 1/4 is equal. Doby. Now we need to select four times out of seven times. So to become seven seafood now, we need to select three nickel coins out of five nickel coins, so it becomes five c tree and we need to select 1/4 out of 10 quarters, so it becomes 10 c. Even now, we need to select the eight coins out off 22 so it becomes torn. Tito see it now Since N. C. R. Is equal Toby in factorial over our al factorial multiplied with n minus r factorial so it becomes seven factorial divided by four factorial multiplied with three factorial multiplied with five factorial divided by three factorial multiplied with two factorial plus 10 divided by 22 factorial divided by eight factorial Do I do to buy 24 2014 factorial. Now this becomes 3 50 a bone 31977 So this is over Answer.

Charles Carter · Answer

it&#x27;s defined a probe. The probability of drawing a 10 if I and then a one in that order out of this purse, No replacement is happening. So these events are depended on the outcome of the three previous action. So we&#x27;re going to do this in order. So are $10 for a $10 bill draw. There are two out of nine nine total bills. Now that we&#x27;ve drawn a $10 builders, only eight bills left. Okay, we haven&#x27;t affected our number of $5 bills, so we still have $45 bills. And then for our $1 bills he&#x27;s drawn to Bill&#x27;s out now, so there&#x27;s only seven left and $1 bills. Only have three. Okay, so this to help us with our mental math, we can reduce some of this. So are four, and are a reduced to one and 2 1/2 being canceled honor twos than our three and nine can. Salt to one and three. Okay, So our name writer with a speed that&#x27;s a one in 21 chance. No. This happening. Okay. Thank you.

Charles Carter · Answer

for the bank of four coins. The sample space was 1/4 a dime, a nickel or a penny. And so this questions asking, What&#x27;s the probability of getting a nickel? So the probability of a nickel would just be one, because there&#x27;s only one nickel in the bag about it. By the total number of coins to buy, which is 1/4 we can also write that as a decimal has 0.25

Amrita Bhasin · Answer

We&#x27;re looking for the probability of Diamond Nicolino. The probability of diamonds. Three nights the properly of a necklace. 3/8 multiplying these. Together we got 9/72 which could be simplified toe 1/8.

Problem

Two cards are drawn from a standard deck of cards…

Problem 43 Medium Difficulty

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?

Answer

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

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Holliday, Luchin, Cuevas, Carter Marks, Day, Casey, Hayek

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

Algebra

Grace H.

Heather Z.

Caleb E.

Kristen K.

Absolute Value - Example 1

Absolute Value - Example 2

Holliday, Luchin, Cuevas, Carter Marks, Day, Casey, HayekAlgebra

Grace H.

Heather Z.

Caleb E.

Kristen K.

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

Holliday, Luchin, Cuevas, Carter Marks, Day, Casey, Hayek

Algebra