Contents
Andhra Pradesh SSC Class 10 Solutions For Maths – Probability (English Medium)
These Solutions are part of AP SSC Class 10 Solutions for Maths. In this article, we have provided Andhra Pradesh SSC Class 10 Solutions For Maths Chapter 13 Probability
Exercise 13.1:
Question 1:
Complete the following statements:
(i) Probability of an event E + Probability of the event ‘not E’ = ……………………
(ii) The probability of an event that cannot happen is …………………….
Such an event is called …………………..
(iii) The probability of an event that is certain to happen is ……………………….
Such an event is called ……………………
(iv) The sum of the probabilities of all the elementary events of an experiment is …………………….
(v) The probability of an event is greater than or equal to ………………… and less than or equal to ……………………
Solution :
(i) 1
(ii) 0, Impossible event
(iii) 1, Sure event
(iv) 1
(v) 0, 1
Question 2:
Which of the following experiments have equally likely outcomes? Explain.
(i) A driver attempts to start a car. The car starts or does not start.
(ii) A player attempts to shoot a basketball. She/he shoots or misses the shot.
(iii) Atrial is made to answer a true false question. The answer is right or wrong.
(iv) A baby is born. It is a boy or a girl.
Solution :
(i) No
(ii) No
(iii) Yes
(iv) Yes
Question 3:
If P(E) = 0.05, what is the probability of ‘not E’?
Solution :
Question 4:
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?
Solution :
(i) P(orange flavored candy)=0
Since there is no orange flavored candy in bag.
(ii) P(lemon flavored candy)=1
Question 5:
Rahim removes all the hearts from the cards. What is the probability of
i. Getting an ace from the remaining pack.
ii. Getting a diamonds.
iii. Getting a card that is not a heart.
iv. etting the Ace of hearts.
Solution :
Question 6:
It is given that in a group of 3 students, the probability of 2 students not having the same birthday is 0.992. What is the probability that the 2 students have the same birthday?
Solution :
Question 7:
A die is rolled once. Find the probability of getting
(i) a prime number; (ii) a number lying between 2 and 6 ; (iii) an odd number.
Solution :
Question 8:
What is the probability of selecting out a red king from a deck of cards?
Solution :
Exercise 13.2:
Question 1:
A bag contains 3 red balls and 5 black balls. A ball is selected at random from the bag. What is the probability that the ball selected is (i) red ? (ii) not red?
Solution :
Question 2:
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?
Solution :
Question 3:
A Kiddy bank contains hundred 50p coins, fifty D1 coins, twenty D2 coins and ten D5 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 D5 coin?
Solution :
Question 4:
Gopi buys a fish from a shop for his aquarium. The shopkeeper takes out one fish at random from a tank containing 5 male fish and 8 female fish (See figure). What is the probability that the fish taken out is a male fish?
Solution :
Question 5:
A game of chance consists of spinning an arrow which comes to rest pointing at one of the numbers 1, 2, 3, 4, 5, 6, 7, 8 (See figure), and these are equally likely outcomes. What is the probability that it will point
(i) 8?
(ii) an odd number?
(iii) a number greater than 2 ?
(iv) a number less than 9?
Solution :
Question 6:
One card is selected from a well-shuffled deck of 52 cards. Find the probability of getting
(i) a king of red colour
(ii) a face card
(iii) a red face card
(iv) the j ack of hearts
(v) a spade
(vi) the queen of diamonds
Question 6(i):
Solution :
Question 6(ii):
Solution :
Question 6(iii):
Solution :
Question 6(iv):
Solution :
Question 6(v):
Solution :
Question 6(vi):
Solution :
Question 7:
Five cards-the ten, jack, queen, king and ace of diamonds, are well-shuffled with their face downwards. One card is selected at random.
(i) What is the probability that the card is the queen?
(ii) If the queen is selected and put aside (without replacement), what is the probability that the second card selected is (a) an ace? (b) a queen?
Solution :
Question 8:
12 defective pens are accidentally mixed with 132 good ones. It is not possible to just look at a pen and tell whether or not it is defective. One pen is taken out at random from this lot. Determine the probability that the pen taken out is a good one.
Solution :
Question 9:
A lot of 20 bulbs contain 4 defective ones. One bulb is selected at random from the lot. What is the probability that this bulb is defective? Suppose the bulb selected in previous case is not defective and is not replaced. Now one bulb is selected at random from the rest. What is the probability that this bulb is not defective?
Solution :
Question 10:
A box contains 90 discs which are numbered from 1 to 90. If one disc is selected at random from the box, find the probability that it bears
(i) a two-digit number
(ii ) a perfect square number
(iii) a number divisible by 5.
Solution :
Question 11:
Suppose you drop a die at random on the rectangular region shown in figure. What is the probability that it will land inside the circle with diameter 1 m?
Solution :
Question 12:
A lot consists of 144 ball pens of which 20 are defective and the others are good. The shopkeeper draws one pen at random and gives it to Sudha. What is the probability that
- She will buy it?
- She will not buy it ?
Solution :
Question 13:
Two dice are rolled simultaneously and counts are added (i) complete the table given below: (ii)A student argues that ‘there are 11 possible outcomes 2, 3, 4, 5, 6, 7, 8, 9, 10, 11 and Therefore, each of them has a probability \(\frac{1}{11}\) . Do you agree with this argument? Justify your answer.
Solution :
Question 14:
A game consists of tossing a one rupee coin 3 times and noting its outcome each time Deskhitha wins if all the tosses give the same result i.e., three heads or three tails, and loses otherwise. Calculate the probability that she will lose the game.
Solution :
Question 15:
A die is thrown twice. What is the probability that (i) 5 will not come up either time? (ii) 5 will come up at least once? [Hint : Throwing a die twice and throwing two dice simultaneously are treated as the same experiment].
Solution :
Hope given Andhra Pradesh SSC Class 10 Solutions For Maths chapter 13 Probability are helpful to complete your math homework.
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