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Dominik [7]
1 year ago
15

A​ single, six-sided die is rolled. Find the probability of rolling an even number or a number less than 5.

Mathematics
1 answer:
Svetach [21]1 year ago
8 0

The probability of rolling an odd number or a number less than 5 is 5/6.

Probability is the likelihood of the occurrence of an event. It is the ratio of number of events to number of possible outcomes.

The possible outcome from rolling a six-sided die is 1, 2, 3, 4, 5 and 6

P(odd number) = 3/6; P(less than 5) = 4/6; P(odd number and less than 5) = 2/6

Hence:

P(odd number or less than 5) = 3/6 + 4/6 - 2/6 = 5/6

The probability of rolling an odd number or a number less than 5 is 5/6.

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5 0
3 years ago
A boy has only dimes and quarters in his piggy bank. if he has 70 coins worth 12 dollars and 40 cents altogether, how many quart
dlinn [17]

Let us bear in mind the equivalent value of these coins: 

One dime = $0.10 

One quarter = $0.25 

Let x = number of dimes 

        y<span> = number of quarters</span> 

Since the boy has 70 coins in total, we can say that: 

<span>x + y = </span><span>70 </span>(can be written as x = 70 – y) 

Since the boy has a total of $12.40, we can say that: 

0.10x + 0.25y = 12.40 

To solve this problem, we need to solve this system of equation. We have to substitute the value of x as written in the first equation (x = 70 –y) 

0.10(70 – y) + 0.25y = 12.40 

7 – 0.10y + 0.25y = 12.40 

0.15y = 5.40 

y = 36 

X = 70 – 36 

X = 34 

Therefore,<span> the boys </span>has<span> 34 dimes and 36 quarters. To check our answer, we just have to check if his money would total $12.40.</span> 

34 dimes = $3.40 

36 dimes = $9.00 

<span>Total           </span><span>$12.40</span>

7 0
3 years ago
Read 2 more answers
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