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Probability

Important Instructions
61.

What are the chances that no two boys are sitting together for a photograph if there are 5 girls and 2 boys?

Answer: D

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62.

A listing of the possible outcomes of an experiment and their corresponding probability is called

Answer: D

A probability distribution is listing of all possible outcomes from an experiment with their associated probability for each outcome.

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63.

A box has 6 black, 4 red, 2 white and 3 blue shirts. What is the probability that 2 red shirts and 1 blue shirt get chosen during a random selection of 3 shirts from the box?

Answer: A

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64.

A die is thrown once, the probability of getting a composite number on the die is

Answer: A

The composite numbers among the numbers on a die are 4 and 6. Thus, we have 2 favourable outcomes out of a total of 6 outcomes. Hence, the required probability is 2/6 = 1/3.

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65.

If you roll a pair of dice, what is the probability that (at least) one of the dice is a 4 or the sum of the dice is 7?

Answer: D

These are the possibilities of the required event to occur. {(4,1), (4,2), (4,3), (4,4), (4,5), (4,6), (1,4), (2,4), (5,4), (6,4), (1,6), (2,5), (3, 4), (5,2), (6,1)}

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66.

There are 2 pots. One pot has 5 red and 3 green marbles. Other has 4 red and 2 green marbles. What is the probability of drawing a red marble?

Answer: B

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67.

What is the probability of getting all heads or all tails, when three coins are tossed simultaneously ?

Answer: C

When three coins are tossed simultaneously, there are 8 possible outcomes, which are (HHH), (HHT), (HTH), (THH), (HTT), (THT), (TTH), (TTT), where H is represents the head and T represents the tail.

Favorable outcomes of getting all heads or all tails are HHH and TTT.

We know that, Probability of an event E, P (E) =Number of favorable outcomes /Total number of outcomes

Hence, the required probability = 2/8 = 1/4

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68.

A box has 6 black, 4 red, 2 white and 3 blue shirts. When 2 shirts are picked randomly, what is the probability that either both are white or both are blue?

Answer: A

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69.

In a box, there are 8 red, 7 blue and 6 green balls. One ball is picked up randomly. What is the probability that it is neither red nor green?

Answer: A

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70.

In the special rule of addition of probability, the events are always

Answer: B

In the special rule of addition of probability, the events must be mutually exclusive.

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