Math Olympiad Test: Probability- 1 - Class 9 MCQ

The definition of probability is the degree to which something is likely to occur. An impossible event is an event with no chance of occurring.
Hence, the probability of an impossible event is zero.

On tossing two coins, following outcomes can be observed: {(H, H),(T, T),(H, T),(T, H)}
Therefore, there are total of 4 possible outcomes
Now, favourable outcomes are {(H,H),(H,T),(T,H)}
Therefore, no. of favourable outcomes are 3
Hence, P(Getting at least one head) = 3/4.

P (student passed in the examination)

= 0.8.

P (drawing sum as even number)
= 18/36 = 1/2

1, 3, 5, 7 and 9 are odd numbers
∴ Required probability

= 107/200.

Tail is obtained (3/8 × 1000) times = 375 times. 
∴ Head is obtained (1000 – 375) = 625 times. 

P (student getting 40 or more marks)

P (getting a red card) = 26/52 = 1/2

P (student chosen is girl) 

(1, 1), (2, 2), (3, 3), (4, 4), (5, 5), (6, 6) are the doublets
∴ P (getting a doublet) = 6/36 = 1/6.