Question

100 cards are marked 2 to 101 are placed in a box and mixed throughly. One card is drawn a random from the box. Find the probability that number on the card is an even number,a prime number less than 20​

Answer 1

Answer:

Apply general term formula of an AP, to find the total numbers of cards. Here a (first term) = 1, d (common difference) = 2 and l( last term) = 101 l = a + (n-1)d 101 = 1 + (n-1)(2) n = 51 Total number of cards = 51 (i) Favorable outcome = Numbers less than 19 = 1, 3, 5, 7, 9, 11, 13, 15, 17 Favorable number of outcomes = 9 P(getting a card number less than 19) = 9/51 (ii) Favorable outcome = a prime number less than 20 = 3, 5, 7, 11, 13, 15, 17, 19 Favorable number of outcomes = 7 P(getting a card with a prime number less than 20) = 7/51Read more on Sarthaks.com - https://www.sarthaks.com/715912/cards-marked-with-numbers-101-are-placed-bag-and-mixed-thoroughly-card-drawn-random-from-the

Answer 2

Step-by-step explanation:

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