Logical Reasoning with a Story

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Read the following story and answer the questions given below:  Title: A Hunter and His Loyal Eagle  Once upon a time, an eagle flew over the high mountains with its companion hunter in the woods. The hunter had been searching for food and water but found nothing. Finally, he came upon a small spring beside a vertical cliff. He was parched and famished. Taking his mug, he went to the spring and collected some water falling from the cliff. Just as he was about to drink, his eagle swooped down and knocked the mug out of his hand. The hunter was both angry and astonished by this behaviour. He tried again to collect water, but the eagle repeated its actions. The hunter, enraged, warned the eagle that if it did so again, he would kill it. Despite the warning, the eagle knocked the mug out of the hunter's hand once more. In a fit of rage, the hunter killed the eagle. Still fuming, he climbed the cliff to get water from the source. When he reached the top, he was shocked to find a de...
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Probabilty of drawing balls Test 5

The probability of drawing the balls


Q.1 If two balls are drawn at random from a bag of five balls including three red and two black balls. What is the probability that the one is black and the other is red ball?
Answer?

A) 50%

B) 20%

C) 30%

D) 40%

Answer: C) 30% 

Explanation:

The probability of drawing one black ball and one red ball is=

(Number of ways to draw one black and one red) / (Total number of ways to draw two balls)

There are 2 black balls and 3 red balls, so:

- Number of ways to draw one black and one red: 2 (choose black) × 3 (choose red) = 6

- Total number of ways to draw two balls: 5 (choose first ball) × 4 (choose second ball) = 20

Probability = 6/20 = 3/10 = 0.3

So, the probability of drawing one black and one red ball is 0.3 or (C) 30%.

Q.2 If ONE balls are drawn at random from a bag of five balls including three red and two black balls. What is the probability that the ball drawn at random is black?
Answer?

A) 50%

B) 20%

C) 30%

D) 40%

Answer: D) 40% 

Explanation:

There are 5 balls in total, and 2 of them are black. So, the probability of drawing a black ball is:

(Number of black balls) / (Total number of balls)

= 2/5

= 0.4

So, the probability of drawing a black ball is 0.4 or D) 40%.

Q.3 If ONE balls are drawn at random from a bag of five balls including three red and two black balls. What is the probability that the ball drawn at random is red?
Answer?

A) 60%

B) 20%

C) 30%

D) 40%

Answer: A) 60% 

Explanation:

Explanation:
There are 5 balls in total, and 3 of them are red. So, the probability of drawing a red ball is:

(Number of red balls) / (Total number of balls)
= 3/5
= 0.6

So, the probability of drawing a red ball is 0.6 or A) 60%.

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