class 12

Math

Algebra

Probability I

If 12 identical balls are to be placed in 3 identical boxes, then the probability that one of the boxes contains exactly 3 balls is :

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If $P(A)=0.8,P(B)=0.5,andP(B/A)=0.4,$ find (i) $P(A∩B)$ (ii)$P(BA )$ (iii)$P(A∪B)$

A bag contains $n+1$ coins. If is known that one of these coins shows heads on both sides, whereas the other coins are fair. One coin is selected at random and tossed. If the probability that toss results in heads is 7/12, then find the value of $n˙$

An experiment consists of tossing a com and then throwing it second tune if a head occurs. If a tail occurs on the first toss, then a die is rolled once. Find the sample space.

If $P(E)=0.05$, what is the probability of not E?

Two coins (a one rupee coin and a two rupee coin) are tossed once. Find a sample space.

A die is thrown repeatedly untill a six comes up. What is the sample space for this experiment?

In a relay race there are five teams A. B, C. D and E.(a) What is the probability that A. B and C finish first, second and third, respectively.(b) What is the probability that A. B and C are first three to finish (in any order) (Assume that all finishing orders are equally likely).

A fair coin is tossed repeatedly. If tail appears on first four tosses, then find the probability of head appearing on fifth toss.