CBSE Class 10-Mathematics: Chapter – 15 Probability Part 17 (For CBSE, ICSE, IAS, NET, NRA 2022)
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Question 15:
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 basket ball, she/he shoots or misses the shot.
(iii) A baby is born. It is a boy or a girl.
Answer:
(i) A driver attempts to start a car, thencarstarts or does not start are not equally likely.
(ii) A player attempts to shoot a basket ball, she/he shoots or misses the shoot are not equally likely.
(iii) A baby is born, it is a boy or a girl is an equally likely event.
Question 16:
Find the probability that a number selected at random from the numbers 1,2, 3, … 35 is a
(i) Prime number,
(ii) Multiple of 7,
(iii) Multiple of 3 or 5.
Answer:
(i) Prime number are , which are 11 in number
Total number of outcomes
P (Prime number)
(ii) Multiples of ‘7’ are , which are 5 in number
(iii) Multiple of ‘3’ are , which are 11 in numbers
Multiple of 5 are , which are 7 in number
Multiple of ‘3’ and ‘5’ are , which are in number
Multiple of 3 or
4 Mark Questions
Question 1:
One card is drawn 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 jack of hearts
(v) A spade
(vi) The queen of diamonds.
Answer:
Total number of favourable outcomes
(i) There are two suits of red cards, i.e.. , diamond and heart. Each suit contains one king.
Favourable outcomes
Hence, P (a king of red colour)
(ii) There are 12 face cards in a pack.
Favourable outcomes
Hence, P (a face card)
(iii) There are two suits of red cards, i.e.. , diamond and heart. Each suit contains 3 face cards.
Favourable outcomes
Hence, P (a red face card)
(iv) There are only one jack of heart.
Favourable outcomes
Hence, P (the jack of hearts)
(v) There are 13 cards of spade.
Favourable outcomes = 13
Hence, P (a spade)
(vi) There is only one queen of diamonds.
Favourable outcome
Hence, P (the queen of diamonds)