Chapter 13 Probability
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See all →- If A and B are two events such that A ⊂ B and P(B) ≠ 0, then which of the following is true? A ⊂ B ⇒ A ∩ B = A ⇒ P(A ∩ B) = P(A) ∴ P(A/B) = P(A∩B)/P(B) = P(A)/P(B) But P(B) ≤ 1 ⇒ P(A/B) ≥ P(A). 1
- A box of oranges is inspected by examining three randomly selected oranges drawn without replacement. Box contains 12 good and 3 bad oranges. If three oranges selected are good ones, the box is approved for sale. 3 good oranges may be selecte... 1
- A fair coin and an unbiased dice are tossed. Let A be the event ‘head appears on the coin’ and B be the event 3 on dice When a coin is thrown, head or tail will occur. ∴ Probability of getting head P(A) = 1/2 . when a dice is tossed 1, 2, 3, 4, 5, 6 one of the... 1
- A dice, marked 1, 2, 3 in red and 4, 5, 6 in green is tossed. Let A be the event ‘number is even’ Even numbers on dice are 2, 4, 6. ∴ Probability of getting an even number = P(A) = 3/6 = 1/2 . There are two colours on the dice viz. red an... 1
- A dice is tossed thrice. Find the probability of getting an odd number at least once? If a dice is thrown and an odd number occurs, then it may result in 1, 3, 5. ∴ The probability of getting an odd number in a throw of a dice... 1
- Problem of solving specific problem independently by A and B are \(\frac{1}{2}\) and \(\frac{1}{3}\) respectively. Probability that A solves the problem = 1/2 ⇒ Probability that A does not solve the problem P( A ) = 1 – 1/2 = 1/2 . Probability that B solv... 1