Math Olympiad Test: Probability- 2 - Class 10 MCQ

Let E be the event that it will rain today.
P(E) = 0.76
P (That it will not rain today) = 1 - 0.76
= 0.24

Total number of possible outcomes = 19 Out of the given numbers, prime numbers are –2, 3, 5, 7, 11, 13, 17, 19
P (the number on the ball is a prime) = 8/19

1, 2, 3, . . . . 35
The multiples of 3 or 5 = 3, 5, 6, 9, 10, 12, 15, 18, 20, 21, 24, 25, 27, 30, 33, 35
P (ticket is a multiple of 3 or 5) = 16/35

Total number of possible outcomes = 36 E = The sum of two numbers be 9 is as (3, 6), (6, 3), (4, 5), (5, 4)
P(E) = 4/36 = 1/9

Given, total number of tickets = 6000
Probability of her winning = 0.08
Total number of tickets she bought = 6000 × 0.08 = 480

Total number of outcomes = 350
No. of score of 6 obtained = 28
No. of score under 6 obtained = 350 - 28 = 322
Probability of getting the score of under 6 = 322/350 = 23/25

Numbers are 1, 2, 3, .......... 35
Total no. of possible outcomes = 35
E = The number which is multiple of 7
= 7, 14, 21, 28, 35
P(E) = 5/35 = 1/7
P (Not multiple of 7) = 

Total no. of students = 35 + 15 = 50
Probability that selected student is a girl = 15/50 = 3/10 

Let no. of white balls = x
Total no. of balls = 6 + 4 + x = 10 + x
Probability of drawing not a white ball

Remaining cards = 52 - 4 = 48
There are 3 kings
∴ P (getting a king) = 3/48 = 1/16 

Let there are b blue, g green and w white marbles.
b + g + w = 54
P (getting a blue marble) = b/54

P (getting a green marble)

No. of while marbles = 54 - (18 + 24) = 54 - 42 = 12

Total no. of possible outcomes
= 70 + 30 + 50
= 150
No. of Rs. 5 coin = 50
No. of coins of Rs. 1 & Rs. 2 coin = 70 + 30 = 100
P (will not be Rs. 5 coin) = 100/150 = 2/3

Total no. of letters = 13
No. of vowel letters = 6
Required probability = 6/13

Total no. of letters = 13
No. of consonant letters = 8
Required probability = 8/13

Total no. of tickets = 500
Total no. of prizes = 15
P (win a prize) = 15/500 = 3/100 = 0.03