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The word “MATHEMATICS” is written on a separate card. The cards are placed faced down and shuffled. What is the probability that a vowel can be picked?
a. 4/11
b. 2/11
c. 1/11
d. 3/11

2.Pupils were surveyed about the number of books inside their bags. The table shows the results. Find the probability of pupils that has 2 or more books?
a. 1/8
b. 1
c. 3/7
d. 4/7

3.If 1000 pupils will be in this survey, what is the experimental probability of learners who has 2 or more books?
a. 571
b. 421
c. 1000
d. 241

4.What is the experimental probability of learners who has no book?
a. 571
b. 95
c. 241
d. 330

5.A coin is tossed 80 times. The coin landed on heads 46 times and on tails 34 times. Find the probability of landing on tails.
a. 17/40
b. 23/40
c. 17/23
d. 23/17

2 Answers

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see in the explanation !

Step-by-step explanation:



"MATHEMATICS" has 11 letters.

The vowels are A, E, I, O, U, and sometimes Y.

Method: Find how many vowels are in "mathematics"

the vowels found in this word are a, e, and i. Hence, there are 3 vowels, and the probability of ANY vowel getting picked is 3/11.



24 pupils have 2+ books.

Method: Find the total number of students

probability: preferred outcomes/total number of outcomes

In this case, the "preferred outcomes" are the number of students with 2 or more books, and the "total outcome" is the total number of students. We are basically trying to find the number of students with 2+ books out of the total number of students there are.

"preferred outcomes": 24

"total outcomes": 42

Add up the numbers of students given in the chart to find the total. Just add the numbers in the right column, beacuse we are trying to find the # of students , so the 1st column is irrelevant .

24+14+4= 42

24/42= 4/7

Answer =D


Now the total number of students is 1,000. You may be thinking about the "total number of students" above , that is clearly different from this. BUT, here we are just using the probability we found in question 2 (4/7) to find the probability in this scenario .

Method 1: Proportion

4 x

__ = _____

7 1000

7x= 4000

x= about 571.4---> 571

Method 2: Percentage

4/7= 0.571428571---> about 57%

so if 57% of students have 2+ books, and 57% of 1,000 is 570, about 570 students have books. And since 570 is close to 571, technically speaking, both methods lead us to option A although the proportion method was more precise.


The probability of students having no book, according to the table, is 2/21 because 4/42=2/21. Now, the total numbber of students is 1000, so we will solve a proportion again.

2 x

__= ___

21 1000

21x= 2000

x= about 95

Answer= B



coin is tossed 80 times.

heads: 46 times

tails: 34 times

probability of tails: 34/80 = 17/40


Hope this helps :)) Also brainliest would be appreciated, I stayed up pretty late working on this lol :)
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