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AleksandrR [38]
4 years ago
13

Tony throws the dice once.He also throws a coin to get heads or tails.Two of the outcomes are 1H 2H

Mathematics
1 answer:
aleksley [76]4 years ago
4 0

Answer:

  • <u>1H, 1T, 2H, 2T, 3H, 3T, 4H, 4T, 5H, 5T, 6H, and 6T.</u>

Explanation:

The quetion is:

  • <em>list all the outcomes in the same format </em>
<h2 /><h2>Solution</h2>

Understand the format:

  • first character is the number that appears on the top face of the dice: it can be 1, 2, 3, 4, 5, or 6.

  • second charater is one of two letters that represent the flip of the coin: H for heads or T for tails.

Then, the list of the combinations that represent all the possible outcomes is:

  • 1H, 1T, 2H, 2T, 3H, 3T, 4H, 4T, 5H, 5T, 6H, and 6T.

They are 12 possible outcomes: 6 × 2 = 12: 6 from the 6 possible outmoes of the dice, and 2 for the two possible outcomes of the coin.

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In a survey of adults who follow more than one sport, 30% listed football as their favorite sport. You survey 15 adults who foll
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Step-by-step explanation:

Binomial probability formula :-

P(x)=^nC_x\ p^x(q)^{n-x}, where P(x) is the probability of getting success in x trials , n is the total trials and p is the probability of getting success in each trial.

Given : The probability that the adults follow more than one game = 0.30

Then , q= 1-p = 1-0.30=0.70

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Let X be represents the adults who follow more than one sport.

Then , the probability that fewer than 4 of them will say that football is their favorite sport,

P(X\leq4)=P(x=0)+P(x=1)+P(x=2)+P(x=3)+P(x=4)\\\\=^{15}C_{0}\ (0.30)^0(0.70)^{15}+^{15}C_{1}\ (0.30)^1(0.70)^{14}+^{15}C_{2}\ (0.30)^2(0.70)^{13}+^{15}C_{3}\ (0.30)^3(0.70)^{12}+^{15}C_{4}\ (0.30)^4(0.70)^{11}\\\\=(0.30)^0(0.70)^{15}+15(0.30)^1(0.70)^{14}+105(0.30)^2(0.70)^{13}+455(0.30)^3(0.70)^{12}+1365(0.30)^4(0.70)^{11}\\\\=0.515491059227\approx0.5

Hence, the probability rounded to the nearest tenth that fewer than 4 of them will say that football is their favorite sport =0.5

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96 ! If you get x on one side and the # on the other you get x=96
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