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Cards marked with the number 2to101 are placed in a Box and mixed thoroughly. One card is drawnfrom this box. Find the probability that the number on the card is: (i) a prime number less than 40 (ii) A number division by 4 or 5 (iii) number divisible by 4 and 5 |
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Answer» Answer:
Step-by-step explanation: Total outcomes = 100 Probability that the NUMBER on the card is: (i) a prime number less than 40 => Prime numbers less than 40 = 2, 3, 5, 7, 11, 13, 17, 19, 23, 29, 31, 37 i.e., 12 numbers or 12 favourable outcomes. P(E) = 12/100 = 0.12 (II) a number divisible by 4 or 5 => Numbers divisible by 4 = 25 numbers => Numbers divisible by 5 = 20 numbers => Numbers divisible by both 4 and 5 = 5 numbers(20, 40, 60, 80, 100) i.e. 45(25+20) - 5 = 40 numbers or 40 favourable outcomes. P(E) = 40/100 = 0.4 (iii) a number divisible by 4 and 5 => Numbers divisible by both 4 and 5 = 5 numbers(20, 40, 60, 80, 100) i.e. 5 numbers or 5 favourable outcomes. P(E) = 20/100 = 0.2 HOPE IT HELPS!!!! |
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