Question
Question: A box contains cards numbered from 1 to 50. One card is drawn at random from the box. Find the proba...
A box contains cards numbered from 1 to 50. One card is drawn at random from the box. Find the probability that the number on the card is
(a) a perfect square.
(b) a number divisible by 6.
Solution
Hint: The formula for evaluating probability of any event is
P =Total outcomesFavorable outcomes.
Another important thing which is useful for this question is that drawing a card from the box at random is nothing but taking out a card without having biased towards any card and without having any prior information regarding the cards.
Complete step-by-step answer:
Now, in the question it is mentioned that there are 50 cards numbered from 1 to 50. So, the total outcomes for the event of drawing a card from the box at random is
Total outcomes =50
Now, for the favorable outcomes for part (a) that is getting a card with a number which is a perfect square, we need to count the total number of cards that have a number which is a perfect square.
Therefore,
Favorable outcomes =7.
(1, 4, 9, 16, 25, 36, 49)
Now, using the formula for calculating the probability of getting a card numbered with a perfect square is