which event has the highest likelihood?\na the likelihood of randomly drawing a quarter from a bag that…

which event has the highest likelihood?\na the likelihood of randomly drawing a quarter from a bag that contains 5 quarters, 2 dimes and 4 pennies.\nb the likelihood of choosing an even number while randomly drawing a card from a cup containing 20 cards numbered 1 - 20.\nc the likelihood of rolling a 7 on a standard six - sided number cube.\nd the likelihood of randomly drawing a queen from a standard deck of cards.

which event has the highest likelihood?\na the likelihood of randomly drawing a quarter from a bag that contains 5 quarters, 2 dimes and 4 pennies.\nb the likelihood of choosing an even number while randomly drawing a card from a cup containing 20 cards numbered 1 - 20.\nc the likelihood of rolling a 7 on a standard six - sided number cube.\nd the likelihood of randomly drawing a queen from a standard deck of cards.

Answer

Explanation:

Step1: Calculate probability of A

Total number of coins is $5 + 2+4=11$. Probability of drawing a quarter $P(A)=\frac{5}{11}\approx0.455$.

Step2: Calculate probability of B

There are 10 even - numbered cards from 1 - 20. Probability of choosing an even number $P(B)=\frac{10}{20} = 0.5$.

Step3: Calculate probability of C

A standard six - sided number cube has values from 1 to 6. Probability of rolling a 7 is $P(C)=0$.

Step4: Calculate probability of D

A standard deck of cards has 52 cards and 4 queens. Probability of drawing a queen $P(D)=\frac{4}{52}=\frac{1}{13}\approx0.077$.

Answer:

B. The likelihood of choosing an even number while randomly drawing a card from a cup containing 20 cards numbered 1 - 20.