Question

use the information to answer the question.
max is playing a game with his brother. he has a deck of cards with various shapes on the cards. the table shows the number of each shape and the prize his brother will win if he picks that shape. max shuffles the deck and his brother randomly selects a card.

shape	number of cards	prize
diamond	8	bouncing ball
square	5	pencil
circle	2	rainbow pen

what is the probability that max’s brother wins a sticker or bouncing ball? explain your answer

Explanation:

Step1: Find total number of cards

First, we calculate the total number of cards by adding the number of each shape. So, \(10 + 8 + 5 + 2 = 25\) cards in total.

Step2: Find number of favorable cards

Next, we find the number of cards that give a sticker (Heart) or a bouncing ball (Diamond). The number of Heart cards is 10 and Diamond cards is 8, so \(10 + 8 = 18\) favorable cards.

Step3: Calculate probability

Probability is the number of favorable outcomes divided by total outcomes. So, the probability is \(\frac{18}{25}\).

Answer:

The probability that Max’s brother wins a sticker or bouncing ball is \(\frac{18}{25}\). To find this, first calculate the total number of cards: \(10 + 8 + 5 + 2 = 25\). Then, find the number of cards that result in a sticker (Heart, 10 cards) or bouncing ball (Diamond, 8 cards): \(10 + 8 = 18\). Probability is favorable outcomes (\(18\)) divided by total outcomes (\(25\)), so \(\frac{18}{25}\).