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All the jacks, queens and kings are removed from a deck of 52 playing cards. The remaining cards are well shuffled and then one card is drawn at random - Mathematics

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प्रश्न

All the jacks, queens and kings are removed from a deck of 52 playing cards. The remaining cards are well shuffled and then one card is drawn at random. Giving ace a value 1 similar value for other cards, find the probability that the card has a value less than 7

योग

उत्तर

In out of 52 playing cards, 4 jacks, 4 queens and 4 kings are removed, then the remaining cards are left, n(S) = 52 – 3 × 4 = 40.

Let E3 = Event of getting a card whose value is less than 7

= Event of getting a card whose value is 1, 2, 3, 4, 5 or 6

∴ n(E3) = 6 × 4 = 24

∴ `P(E_3) = (n(E_3))/(n(S)) = 24/40 = 3/5`

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अध्याय 13: Statistics and Probability - Exercise 13.3 [पृष्ठ १७२]

APPEARS IN

एनसीईआरटी एक्झांप्लर Mathematics [English] Class 10
अध्याय 13 Statistics and Probability
Exercise 13.3 | Q 30.(iii) | पृष्ठ १७२

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