CBSE Class 10-Mathematics: Chapter –15 Probability Part 17

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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)