MCQ: Probability - 3 - SSC CGL MCQ

# MCQ: Probability - 3 - SSC CGL MCQ

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## 15 Questions MCQ Test Quantitative Aptitude for SSC CGL - MCQ: Probability - 3

MCQ: Probability - 3 for SSC CGL 2024 is part of Quantitative Aptitude for SSC CGL preparation. The MCQ: Probability - 3 questions and answers have been prepared according to the SSC CGL exam syllabus.The MCQ: Probability - 3 MCQs are made for SSC CGL 2024 Exam. Find important definitions, questions, notes, meanings, examples, exercises, MCQs and online tests for MCQ: Probability - 3 below.
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MCQ: Probability - 3 - Question 1

### For the arrangements of the letters of the word SIGMA, how many words would start with the letter S?

Detailed Solution for MCQ: Probability - 3 - Question 1

Since the first letter is S and all other four words can be repeated,
Total arrangements = !4 = 4 × 3 × 2 × 1 = 24

MCQ: Probability - 3 - Question 2

### Two coins are tossed together. What is the probability of getting two heads?

Detailed Solution for MCQ: Probability - 3 - Question 2

Total possibilities = 2 × 2 = 4
Possibilities getting both heads (H and H) = 1

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MCQ: Probability - 3 - Question 3

### There are 4 red, 10 blue and 6 white balls in a bag. If a ball is drawn from the bag, what is the probability that the ball is either red or white?

Detailed Solution for MCQ: Probability - 3 - Question 3

Total balls = 4 + 10 + 6 = 20
Red balls + white balls = 4 + 6 = 10

MCQ: Probability - 3 - Question 4

In how many ways can the letters of the word WRISTWATCH be arranged?

Detailed Solution for MCQ: Probability - 3 - Question 4

Total letters = 10
W comes two times.
T comes two times.

MCQ: Probability - 3 - Question 5

Two letters are chosen from the word PREACHER. What is the probability that one is a consonant and the other is a vowel?

Detailed Solution for MCQ: Probability - 3 - Question 5

Total letters = 8
Total vowels = 3
Total consonants = 5
Selecting two letters from 8

MCQ: Probability - 3 - Question 6

Two cards are selected randomly from a deck of cards. What is the probability that both the cards are Ace?

Detailed Solution for MCQ: Probability - 3 - Question 6

Total cards = 52
Total Ace cards = 4

MCQ: Probability - 3 - Question 7

A card is selected randomly from a deck of cards. What is the probability that the card is red?

Detailed Solution for MCQ: Probability - 3 - Question 7

Total cards = 52
Total red cards = 26

MCQ: Probability - 3 - Question 8

For the arrangements of the letters of the word BOTTLE, how many words would start with the letter L?

Detailed Solution for MCQ: Probability - 3 - Question 8

Since the first letter is L and all other 5 words can be repeated,
T is two times.
Total arrangements

MCQ: Probability - 3 - Question 9

If all the digits of a three-digit number are even and different, how many such numbers are possible?

Detailed Solution for MCQ: Probability - 3 - Question 9

Total digits = 5 → 0, 2, 4, 6, 8
Possible numbers for hundreds place = 4 = 2, 4, 6 and 8
Possible numbers for tens place = 4
Possible numbers for ones place = 3
So the answer = 4 × 4 × 3 = 48

MCQ: Probability - 3 - Question 10

In how many ways can the letters of the word BOAT be arranged?

Detailed Solution for MCQ: Probability - 3 - Question 10

Total letters = 4
No letter is repeated.
So the answer = !4 = 4 × 3 × 2 × 1 = 24

MCQ: Probability - 3 - Question 11

What is the probability of getting more than 3 on throwing a fair dice?

Detailed Solution for MCQ: Probability - 3 - Question 11

Total numbers on a dice = 6
Total numbers more than 3 = 3 (4, 5 and 6)

MCQ: Probability - 3 - Question 12

Two coins are tossed together. What is the probability of getting one head and one tail?

Detailed Solution for MCQ: Probability - 3 - Question 12

Total possibilities = 2 × 2 = 4
Possibilities getting one heads and one tail (H and T) or (T and H) = 2

MCQ: Probability - 3 - Question 13

There are 6 blue and 10 white balls in a bag. If a ball is drawn from the bag, what is the probability that the ball is white?

Detailed Solution for MCQ: Probability - 3 - Question 13

Total balls = 16
White balls = 10

MCQ: Probability - 3 - Question 14

For the arrangements of the letters of the word INDIA, how many words would start with the letter I?

Detailed Solution for MCQ: Probability - 3 - Question 14

Since I is the first letter,

The remaining four letters ‘N, D, I and A’ will shuffle.

So the answer = !4 = 4 × 3 × 2 × 1 = 24

MCQ: Probability - 3 - Question 15

What is the probability of getting a prime number on throwing a fair dice?

Detailed Solution for MCQ: Probability - 3 - Question 15

Total numbers on a dice = 6
Prime numbers on a dice = 3 (2, 3 and 5)

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## Quantitative Aptitude for SSC CGL

314 videos|170 docs|185 tests