Question

17 cards numbered 1,2,3,.......17.are put in a box and mixed thoroughly. one person draws a card from the box. find the probability that the number on the card is prime​

Answer 1

Answer:

we have cards of : 1,2,3,4,5,6,7,8,9,10,11,12,13,14,15,16,17

Step-by-step explanation:

we have 17 possible outcomes

since , there are 8 prime numbers

1,2,3,5,7,11,13 and 17

hence,the favourable outcomes are 8

therefore, probability of drawing a prime number

= favourable outcomes/possible outcomes

=8/17

Answer 2

Answer:

HEY THERE!!

YOUR ANSWER =>

The cards are mixed thoroughly and a card is drawn at random from the box means that all the outcomes are equally likely.

Sample space = {1,2,3,...., 17} which has 17 equally likely outcomes.

Let C be the event 'the number on the card drawn is prime', then

C = {2, 3,5,7,11,13,17}.

Therefore, The number of favourable outcomes to the event C = 7.

Therefore, P (prime) = 7/17.