Important Questions of Probability Mathematics | Zigya

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641.

Two decks of playing cards are well shuffled and 26 cards are randomly distributed to a player. Then, the probability that the player gets all distinct cards is

  • Cr52/C26104

  • 2 × Cr52/C26104

  • 213 × Cr52/C26104

  • 226 × Cr52/C26104


642.

An um contains 8 red and 5 white balls. Three balls are drawn at random. Then, the probability that balls of both colours are drawn is

  • 40143

  • 70143

  • 313

  • 1013


643.

Let A and B be two events with PAC = 0.3, P(B) = 0.4 and PA  BC. Then, PB | A  BC is equal to

  • 14

  • 13

  • 12

  • 23


644.

4 boys and 2 girls occupy seats in a row at random. Then the probability that the two girls occupy seats side by side is

  • 12

  • 14

  • 13

  • 16


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645.

A coin is tossed again and again. If tail appears on first three tosses, then the chance that head appears on fourth toss is

  • 116

  • 12

  • 18

  • 14


646.

Two dice are tossed once. The probability of getting an even number at the first die or a total of 8 is

  • 136

  • 336

  • 1136

  • 2036


647.

The probability that at least one of A and B occurs is 0.6. If A and B occur simultaneously with probability 0.3, then P(A') + P(B') is

  • 0.9

  • 0.15

  • 1.1

  • 1.2


648.

A and B are two independent events such that P(A B') = 0.8, and P(A) = 0.3. Then, P(B) is

  • 27

  • 23

  • 38

  • 18


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649.

Three numbers are chosen at random from 1 to 20. The probability that they are consecutive is

  • 1190

  • 1120

  • 3190

  • 5190


650.

Let E' denote the complement of an event E. Let E, F, G be pairwise independent events such that P(G) > 0 and P(E ∩ F ∩ G) = 0. Then, P(E'  F' /G) equals

  • P(E') + P(F')

  • P(E') - P(F')

  • P(E') - P(F)

  • P(E) - P(F')


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