{"id":679848,"date":"2023-09-03T04:41:41","date_gmt":"2023-09-02T23:11:41","guid":{"rendered":"https:\/\/infinitylearn.com\/surge\/question\/cards-marked-with-numbers-345-50-are-placed-in-a-box-and-mixed-thoroughly-one-card-is-drawn-at-random-from-the-box-find-the-probability-that-the-number-on-the-drawn-card-is-a-number\/"},"modified":"2025-06-20T14:27:29","modified_gmt":"2025-06-20T08:57:29","slug":"cards-marked-with-numbers-345-50-are-placed-in-a-box-and-mixed-thoroughly-one-card-is-drawn-at-random-from-the-box-find-the-probability-that-the-number-on-the-drawn-card-is-a-number","status":"publish","type":"questions","link":"https:\/\/infinitylearn.com\/surge\/question\/mathematics\/cards-marked-with-numbers-345--50-are-placed\/","title":{"rendered":"Cards marked with numbers 3,4,5, ……….., 50 are placed in a box and mixed thoroughly. One card is drawn at random from the box. Find the probability that the number on the drawn card is a number which is a perfect square."},"content":{"rendered":"","protected":false},"author":1,"template":"","meta":{"_yoast_wpseo_focuskw":"","_yoast_wpseo_title":"","_yoast_wpseo_metadesc":"Cards marked with numbers 3,4,5, ..........., 50 are placed in a box and mixed thoroughly. One card is drawn at random from the box. Find the probability that the number on the drawn card is a number which is a perfect square.","custom_permalink":"question\/mathematics\/cards-marked-with-numbers-345--50-are-placed\/"},"categories":[],"acf":{"question":"

Cards marked with numbers 3,4,5, ..........., 50 are placed in a box and mixed thoroughly. One card is drawn at random from the box. Find the probability that the number on the drawn card is a number which is a perfect square.<\/span><\/p>

<\/p>

<\/p><\/spanstyle=\"-aw-import:ignore\"><\/pstyle=\"margin-top:0pt;margin-bottom:0pt;line-height:normal\"><\/spanstyle=\"-aw-import:ignore\"><\/pstyle=\"margin-top:0pt;margin-bottom:0pt;line-height:normal\">","options":[{"option":"3<\/mn><\/mrow>7<\/mn><\/mrow><\/mfrac><\/math>","correct":false},{"option":"2<\/mn><\/mrow>7<\/mn><\/mrow><\/mfrac><\/math>","correct":false},{"option":"1<\/mn><\/mrow>8<\/mn><\/mrow><\/mfrac><\/math>","correct":true},{"option":"1<\/mn><\/mrow>7<\/mn><\/mrow><\/mfrac><\/math> <\/span>","correct":false}],"solution":"It is given that the box contains cards marked with the number 3,4,5,.......,50.<\/span>
So, the total number of outcomes is 50 - 2 = 48.<\/span>
The probability P(E) of the random experiment as,<\/span>
 <\/span>P<\/mi>(<\/mo>A<\/mi>)<\/mo>=<\/mo>Number<\/mi> <\/mi>of<\/mi> <\/mi>favorable<\/mi> <\/mi>outcomes<\/mi><\/mrow>Total<\/mi> <\/mi>number<\/mi> <\/mi>of<\/mi> <\/mi>outcomes<\/mi><\/mrow><\/mfrac><\/math>
The number of events getting cards of perfect square is, <\/span>
n(X) = {4,9,16,25,36,49}<\/span>
\u21d2<\/mo><\/math>Number of favorable outcomes = 6<\/span>
So, the probability of getting cards of a perfect square is, <\/span>
P<\/mi>(<\/mo>E<\/mi>)<\/mo>=<\/mo>n<\/mi>(<\/mo>X<\/mi>)<\/mo><\/mrow>Total<\/mi> <\/mi>number<\/mi> <\/mi>of<\/mi> <\/mi>outcomes<\/mi><\/mrow><\/mfrac><\/math>
\u21d2<\/mo>P<\/mi>(<\/mo>E<\/mi>)<\/mo>=<\/mo>6<\/mn><\/mrow>48<\/mn><\/mrow><\/mfrac><\/math>
\u21d2<\/mo>P<\/mi>(<\/mo>E<\/mi>)<\/mo>=<\/mo>1<\/mn><\/mrow>8<\/mn><\/mrow><\/mfrac><\/math>
The probability of getting cards of a perfect square is <\/span>1<\/mn><\/mrow>8<\/mn><\/mrow><\/mfrac><\/math>.<\/span>
Hence, option 3 is the correct answer.<\/span>
 <\/span>","subject":"Mathematics"},"yoast_head":"\nCards marked with numbers 3,4,5, ..........., 50 are placed in a box and mixed thoroughly. One card is drawn at random from the box. Find the probability that the number on the drawn card is a number which is a perfect square. - Infinity Learn by Sri Chaitanya<\/title>\n<meta name=\"description\" content=\"Cards marked with numbers 3,4,5, ..........., 50 are placed in a box and mixed thoroughly. One card is drawn at random from the box. 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