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Statistics

Multiple Choice Questions

411. The probability of an even t is greater than or equal to _____ and less than or equal to _____.

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412. Which of the following experiments have equally outcomes ?

A driver attempts to start a car. The car starts or does not start.
A player attempts to shoot a basketball. She/he shoots or misses the shot.
A trial is made to answer a true-false question. The answer is right or wrong.
A trial is made to answer a true-false question. The answer is right or wrong.

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Short Answer Type

413. Why is tossing a coin considered to be a fairway of deciding, which team should get the ball at the beginning of a football game?

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Multiple Choice Questions

414. When we toss a coin, the outcomes are equally likely. So, the result of an individual coin toss is completely unpredictable.

$2 over 3$
-1.5
15%
15%

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Short Answer Type

415. If P(E) = 0.05, what is the probability of ‘not E’?

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416.

A bag contains lemon flavoured candies only. Malini takes out one candy without looking into the bag. What is the probability that she takes out :
(i) an orange flavoured candy?
(ii) a lemon flavoured candy?

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417. It is given that the probability of 2 students in a group of 3 students, not having the same birthday is 0.992. What is the probability that the 2 students have the same birthday?

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418. A bag contains 3 red balls and 5 black balls. A ball is drawn at random from the bag. What is the probability that the ball drawn is (i) red? (ii) not red?

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419. A box contains 5 red marbles, 8 white marbles and 4 green marbles. One marble is taken out of the box at random. What is the probability that the marble taken out will be (i) red? (ii) white? (iii) not green?

Number of red marbles = 5
Number of white marbles = 8
Number of green marbles = 4
Total number of marbles = 5 + 8 + 4 = 17
i.e. n(s) = 17
(i) Let A be the favourable outcomes of getting red marble, then

n(A) = 5
Therefore, P(A) = $fraction numerator straight n left parenthesis straight A right parenthesis over denominator straight n left parenthesis straight s right parenthesis end fraction equals 5 over 17$
(ii) Let B be the favourable outcomes of getting white marbles, then n(B) = 8

Therefore, P(B) = $fraction numerator straight n left parenthesis straight B right parenthesis over denominator straight n left parenthesis straight s right parenthesis end fraction equals 5 over 17$
(iii) Let C be the favourable outcomes of getting ‘not green’ marble, then

n(C) = 5 + 8 = 13

Therefore, P(C) = $fraction numerator straight n left parenthesis straight C right parenthesis over denominator straight n left parenthesis straight s right parenthesis end fraction equals 13 over 17$

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420. A piggy bank contains hundred 50 p coins, fifty Re. 1 coins, twenty Rs. 2 coins and ten Rs. 5 coins. If it is equally likely that one of the coins will fall out when the bank is turned upside down, what is the probability that the coin (i) will be a 50 p coin ? (ii) will not be a Rs. 5 coin?

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