Question

Jade has seven cards. Each card is labeled with a letter. A B C D E F G H J Jade picks one of her cards at random. Find the probability that the card she picks is a) labelled F, b) labelled with a letter in her name JADE c) labelled with a letter that has at least one line of symmetry

Answer 1

The probability of picking a card labeled F is 1/7. The probability of picking a card labeled with a letter in Jade's name is 1/7. The probability of picking a card labeled with a letter that has at least one line of symmetry is 1.

Step-by-step explanation:

To find the probability for each event, we need to know the total number of cards and the number of cards that satisfy each event.

a) There is only 1 card labeled F out of 7 cards in total. So, the probability of picking a card labeled F is 1/7.

b) There is 1 card labeled J out of 7 cards in total. So, the probability of picking a card labeled with a letter in Jade's name is 1/7.

c) The letters A, B, C, D, E, F, and H all have at least one line of symmetry. So, there are a total of 7 cards out of 7 that satisfy this event. Therefore, the probability of picking a card labeled with a letter that has at least one line of symmetry is 7/7, which simplifies to 1.