CBSE Class 10-Mathematics: Chapter –15 Probability Statistics Part 16

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Question 10:

The integers from 1 to 30 inclusive are written on cards (one number on one card). These card one put in a box and well mixed. Joseph picked up one card. What is the probability that his card has

(i) number 7

(ii) an even number

(iii) a prime number

Answer:

Total no. of possible outcomes

(i)

(ii) Even no. are

Favourable outcomes

Required probability

(iii) Prime numbers from 1 to 30 are

No. of favourable outcomes

Required probability

Question 11:

A bag contains lemon flavored candies only. Malini takes out one candy without looking into the bag. What is the probability that she takes out

(i) an orange flavored candy?

(ii) alemon flavored candy?

Answer:

The bag has lemon flavored candies only.

(i) P(an orange flavored candy)

(ii) P (a lemon flavored candy )

Question 12:

A bag contains 6 red balls and some blue balls. If the probability of drawing a blue ball from the bag is twice that of a red, find the number of blue balls in the bag.

Answer:

Suppose no. of blue bolls

Total no. of balls

Probability of blue balls

Probability of red balls

According to, question,

Hence, no. of blue balls

Question 13:

A bag contains 5 red, 4 black and 3 green balls. A ball is taken out of the bag at random, find the probability that the selected ball is

(i) of red colour,

(ii) not of green colour.

Answer:

Total number of balls in the bag

Total number of outcomes

(i) No. of red balls

Required probability for a red ball

(ii) favourable cases for non green ball = 12 – 3=9

Required probability for a non green ball

Question 14:

From a well shuffled pack of 52 cards, black aces and black queens are removed. From the remaining cards a card is drawn at random, find the probability of drawing a king or a queen.

Answer:

Total number of cards

Number of black aces

Number of black queens

Cards left

Total number of equally likely cases

Number of kings and queens left in the cards

Favourable cases

Required probability