Probability One Then Other

Company A produces 10% defective products, Company B produces 20% defective products and C produces 5% defective products. If choosing a company is an equally likely event, then find the probability that the product chosen is defective.

• 0.22

• 0.12

• 0.11

• 0.21

Suppose box A contains 4 red and 5 blue coins and box B contains 6 red and 3 blue coins. A coin is chosen at random from the box A and placed in box B. Finally, a coin is chosen at random from among those now in box B. What is the probability a blue coin was transferred from box A to box B given that the coin chosen from box B is red?

• ¹⁵⁄₂₉

  
  

• ¹⁴⁄₂₉

• ¹⁄₂

  
  

• ⁷⁄₁₀

If A ⊂ B and B ⊂ A then,

• P(A) > P(B)

• P(A) < P(B)

• P(A) = P(B)

  
  

• P(A) < P(B)

A and B are two events such that P(A) = 0.4 and P(A ∩ B) = 0.2 Then P(A ∩ B) is equal to

• 0.4

• 0.2

• 0.6

• 0.8

If P(^B⁄_A) = p(b), then P(A ∩ B) =

• p(b)

• p(a)

• p(b).p(a)

• p(a) + p(b)

Find the number of ways of arranging the letters of the words DANGER, so that no vowel occupies odd place.

• 36

• 48

• 144

• 96

A bag contains 2 red, 3 green and 2 blue balls.Two balls are drawn at random.What is the probability that none of the balls drawn is blue?

• 10/21

• 11/21

• 2/7

• 5/7

What is the probability of getting a sum 9 from two throws of a dice?

• 1/6

• 1/8

• 1/9

• 1/12

What is the probability of an impossible event?

• 0

  
  

• 1

• Not defined

  
  

• Insufficient data

If 40% of boys opted for maths and 60% of girls opted for maths, then what is the probability that maths is chosen if half of the class’s population is girls?

• 0.5

• 0.6

  
  

• 0.7

• 0.4