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)

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