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Chapter 2: Problem 92

What is the probability of making a 7 in one throw of a pair of dice?

Short Answer

Expert verified
The probability of making a 7 in one throw of a pair of dice is \(\frac{1}{6}\) or approximately 16.67%.

Step by step solution

01

Determine the total number of possible outcomes

There are 6 sides on each die, and we are rolling two dice, so there are a total of 6 x 6 = 36 possible outcomes.
02

Find the number of successful outcomes (rolling a 7)

Rolling a 7 can be achieved with the following pairs of dice rolls: (1, 6), (2, 5), (3, 4), (4, 3), (5, 2), and (6, 1) There are 6 successful outcomes where the sum of the dice rolls is 7.
03

Calculate the probability of rolling a 7

Divide the number of successful outcomes (rolling a 7) by the total number of possible outcomes (rolling two dice). Probability = Number of successful outcomes / Total number of possible outcomes The probability of rolling a 7 is: \( P(7) = \frac{6}{36} = \frac{1}{6} \) So the probability of making a 7 in one throw of a pair of dice is \(\frac{1}{6}\) or approximately 16.67%.

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Most popular questions from this chapter

In a survey carried out in a school snack shop, the following results were obtained. Of 100 boys questioned, 78 liked sweets, 74 ice-cream, 53 cake, 57 liked both sweets and icecream. 46 liked both sweets and cake while only 31 boys liked all three. If all the boys interviewed liked at least one item, draw a Venn diagram to illustrate the results. How many boys liked both ice- cream and cake?

Find the probability that on a single draw from a deck of playing cards we draw a spade or a face card or both. Define Events \(\mathrm{A}\) and \(\mathrm{B}\) as follows: Event A: drawing a spade, Event B: drawing a face card.

If 4 cards are drawn at random and without replacement from a deck of 52 playing cards, what is the chance of drawing the 4 aces as the first 4 cards?

What is the probability of getting a 5 on each of two successive rolls of a balanced die?

A coin is tossed 3 times. Find the probability that all 3 are heads, (a) if it is known that the first is heads, (b) if it is known that the first 2 are heads, (c) if it is known that 2 of them are heads.
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