A game has 30 cards numbered 1 through 30. e cards are shu ed. one card is picked at random. Find each probability. Which cards would give a probability of 1/10 they were picked.
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"e cards are shu ed"?
If each card of 30 were picked "at random," each card would have a probability of 1/30 of being picked.
To find the probability of picking a specific card from a deck, we need to consider the number of favorable outcomes (picking the desired card) divided by the total number of possible outcomes (picking any card from the deck).
In this case, we are looking for the cards that would give a probability of 1/10 if they were picked. Let's denote the desired card as "x."
The probability of picking the desired card can be expressed as:
Probability = Number of favorable outcomes / Total number of possible outcomes
We know that there are a total of 30 cards in the deck.
The number of favorable outcomes is the number of cards that would give a probability of 1/10, which means the desired card is one-tenth of the total possibilities.
Mathematically, we can express this as:
x / 30 = 1/10
To solve for x, we can cross-multiply:
10x = 30
Dividing both sides of the equation by 10 gives us:
x = 3
Therefore, if a card is selected at random and the desired card has a probability of 1/10, it would be card number 3.