Question

Here are some number cards:

159
209
0.75
3
0.2
Dora chooses a card at random. Choose the words that best describe the likelihood of the events:

a) Dora's card will be equal to one-fifth
b) Dora's card will be a tion
c) Dora's card will be equal to three-quarters
d) Dora's card will be greater than 1
e) Dora's card will be greater than one-tenth but less than 0.8

Answer 1

The likelihood of Dora choosing a card equal to one-fifth is zero. Two cards are fractions, making the likelihood of selecting a fraction 2/5. For choosing a card equal to three-quarters, it's 1/5, for a card greater than one it's 3/5, and for a card greater than one-tenth but less than 0.8, it's 2/5.

Step-by-step explanation:

To determine the likelihood of the events described for the number cards that Dora could choose, we need to compare the numbers on the cards with the events in question. The number cards are 159, 209, 0.75, 3, and 0.2.

• a) Dora will choose a card equal to one-fifth: The likelihood of this event is zero, as none of the cards are equal to 0.2 (one-fifth).
• b) Dora will choose a card that is a fraction: Two cards are fractions, 0.75 and 0.2. Therefore, the probability is 2/5 or 0.4.
• c) Dora will choose a card equal to three-quarters: One card, 0.75, is equal to three-quarters, so the probability is 1/5 or 0.2.
• d) Dora will choose a card greater than 1: There are three cards greater than 1, which are 159, 209, and 3. Thus, the probability is 3/5 or 0.6.
• e) Dora will choose a card that is greater than one-tenth but less than 0.8: This event includes two cards, 0.2 and 0.75, so the probability is 2/5 or 0.4.