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RD Chapter 25 Probability Ex VSAQS Solutions

Question - 1 : - Define a trial.

Answer - 1 : - When we perform an experiment, it is called a trial of the experiment.

Question - 2 : - Define an elementary event.

Answer - 2 : - An outcome of a trial of an experiment is called an elementary event.

Question - 3 : - Define an event.

Answer - 3 : - An event association to a random experiment is said to occur in a trial.

Question - 4 : - Define probability of an event.

Answer - 4 : -

In n trials of a random experiment if an event A happens m times, then probability of happening
of A is given by P(A) = m/n

Question - 5 : - A bag contains 4 white balls and some red balls. If the probability of drawing a white ball from the bag is 25, find the number of red balls in the bag

Answer - 5 : -

No. of white balls = 4
Let number of red balls = x
Then total number of balls (n) = 4 white + x red = (4 + x) balls

Question - 6 : - A die is thrown 100 times. If the probability of getting an even number is 25. How many times an odd number is obtained?

Answer - 6 : -

Total number of a die is thrown = 100
Let an even number comes x times, then probability of an even number = x/100

Question - 7 : -
Three coins are tossed simultaneously 200 times with the following frequencies of different outcomes
 
Find the probability of getting at most two heads.

Answer - 7 : -

Total number of three coins are tossed (n) = 200
Getting at the most 2 heads (m) = 72 + 77 + 28 = 177
Probability P(A) = m/n = 177/200

Question - 8 : - In the Q. No. 7, what is the probability of getting at least two heads?

Answer - 8 : -

Total number of possible events = 200
No. of events getting at the least = 2 heads (m) = 23 + 72 = 95
Probability P(A) = m/n = 95/200 = 19/40

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