a. A coin is tossed; then a die is rolled. Find the probability of obtaining a 6

Question

a. A coin is tossed; then a die is rolled. Find the probability of obtaining a 6, given that heads come up. b. Two dice were thrown, and a friend tells us that the numbers that came up were different. Find the probability that the sum of the two numbers was 4.(Hint: There is an implicit condition) c. The table shows the results of a class survey. Did you wash the dishes last night? yes no male Use the information in the table to find the following probabilities: i. P(wash the dishes male) ii. P(female not wash the dishes)

Explanation / Answer

a) required result = p [6 in a die and heads in a coin] / p [heads in a coin]

= 1/6 * 1/2 / 1/2 (since both are independent events)

= 1/6

b) total possible outcomes = 62 = 36

Favour outcomes for same numbers in the each pair = {(1,1)(2,2,)(3,3)(4,4),(5,5)(6,6)} = 6

p [Different pair]

= 1 - p [same number in the pair]

= 1 - 6/36

= 30/36

= 0.8333

  

c)

i) p [wash the dishes / male] = 9/17 = 0.5294

ii) p [female / not wash the dishes] = 6/14 = 0.4286

Related Questions

Navigate

• Browse (All)
• Browse A
• Subjects

---

---

Integrity-first tutoring: explanations and feedback only — we do not complete graded work. Learn more.