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Probability

Short Answer Type

441. Three coins are tossed once. Find the probability of getting 3 tails.

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442. Three coins are tossed once. Find the probability of getting exactly two tails.

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443. Three coins are tossed once. Find the probability of getting no tail.

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444. Three coins are tossed once. Find the probability of getting atmost two tails.

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445. A die is thrown, find the probability of the following event:
A prime number will appear.

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446. A die is thrown, find the probability of the following event:
A number greater than or equal to 3 will appear.

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447. A die is thrown, find the probability of the following event:
A number less than or equal to one will appear.

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448. A die is thrown, find the probability of the following event:
A number more than 6 will appear.

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449. A die is thrown, find the probability of the following event:
A number less than 6 will appear.

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450. A fair coin with 1 marked on one face and 6 on the other and a fair die are both tossed. find the probability that the sum of numbers that turn up is 3.

The coin has 1 marked on on face and 6 on the other. Let H = 1 or T = 6. The coin and die are tossed together.
$rightwards double arrow$ S = {(H,1), (H,2), (H,3), (H,4), (H,5), (H,6), (T,1), (T,2), (T,3), (T,4), (T,5), (T,6)}
$rightwards double arrow$ S = {(1,1), (1,2), (1,3), (1,4), (1,5), (1,6), (6,1), (6,2), (6,3), (6,4), (6,5), (6,6)}
$rightwards double arrow$ n(S) = 12

Event A: A total of 3 is obtained.
$rightwards double arrow$ A = {(1, 2)} $rightwards double arrow$ n(A) = 1

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