Class 12

Math

Algebra

Probability I

A four figure number is formed of the figure 1, 2, 3, 5 with no repetition. The probability that the number is divisible by 5 is

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A coin is tossed. If it shows head, we draw a ball from a bag consisting of 3 blue and 4 white balls; if it shows tail we throw a die. Describe the sample space of this experiment.

A box contains 90 discs which are numbered from 1 to 90. If one disc is drawn at random from the box, find the probability that it bears (i) a two-digit number (ii) a perfect square number(iii) a number divisible by 5.

From a pack of 52 cards, two are drawn one by one without replacement. Find the probability that both of them are kings.

If two events $AandB$ are such that $P(A)=0.3;P(B)=0.4;P(A∩B)=0.5$ , then find the value of $P(B/A∪B)$ .

Winch of the following cannot be the probability of an event?(A) $32 $ (B)$1.5$ (C) 15% (D) 0.7

A die is thrown, find the probability of following events: (i) A prime number will appear, (ii) A number greater than or equal to 3 will appear, (iii) A number less than or equal to one will appear, (iv) A number more than 6 will appear, (v) A number less than 6 will appear.

$X$ speaks truth in 60% and $Y$ in 50% of the cases. Find the probability that they contradict each other narrating the same incident.

Consider the experiment in which a coin is tossed repeatedly until a head comes up. Describe the sample space.