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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?

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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?

Number of 50 p coins = 100
Number of Re. 1 coins = 50
Number of Rs. 2 coins = 20
Number of Rs. 5 coins = 10
Total number of coins = 180
i.e. n(s) = 180
(i) Let A be the favourable outcomes of getting a 50 p coin, then

n(A) = 100

Therefore, P(A) = $fraction numerator straight n left parenthesis straight A right parenthesis over denominator straight n left parenthesis straight s right parenthesis end fraction equals 100 over 180 equals 5 over 9$

(ii) Let B be the favourable outcomes of getting ‘not a Rs. 5 coin’. Then

n(B) = 170

Therefore, P(B) = $fraction numerator straight n left parenthesis straight B right parenthesis over denominator straight n left parenthesis straight s right parenthesis end fraction equals 170 over 180 equals 17 over 18$

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